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Finding the Fourth Proportional to 32,641,866.23, 48,961,027.44 and 9,920,992.01

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Solution

The fourth proportional to 32,641,866.23, 48,961,027.44 and 9,920,992.01 is: 14,880,949.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,641,866.23 : 48,961,027.44 = 9,920,992.01 : x
  2. Step 2: Convert to fraction form
    32,641,866.23/48,961,027.44 = 9,920,992.01/x
  3. Step 3: Cross multiply
    32,641,866.23x = 48,961,027.44 × 9,920,992.01
  4. Step 4: Simplify right side
    32,641,866.23x = 485,741,961,788,825.62
  5. Step 5: Solve for x
    x = 485,741,961,788,825.62/32,641,866.23
  6. Step 6: Final answer
    x = 14,880,949.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.