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Finding the Fourth Proportional to 32,643, 48,967.98 and 10,448.44

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Solution

The fourth proportional to 32,643, 48,967.98 and 10,448.44 is: 15,673.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,643 : 48,967.98 = 10,448.44 : x
  2. Step 2: Convert to fraction form
    32,643/48,967.98 = 10,448.44/x
  3. Step 3: Cross multiply
    32,643x = 48,967.98 × 10,448.44
  4. Step 4: Simplify right side
    32,643x = 511,639,000.95
  5. Step 5: Solve for x
    x = 511,639,000.95/32,643
  6. Step 6: Final answer
    x = 15,673.77

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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.