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Finding the Fourth Proportional to 32,070, 48,105.72 and 11,010

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Solution

The fourth proportional to 32,070, 48,105.72 and 11,010 is: 16,515.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,070 : 48,105.72 = 11,010 : x
  2. Step 2: Convert to fraction form
    32,070/48,105.72 = 11,010/x
  3. Step 3: Cross multiply
    32,070x = 48,105.72 × 11,010
  4. Step 4: Simplify right side
    32,070x = 529,643,977.20
  5. Step 5: Solve for x
    x = 529,643,977.20/32,070
  6. Step 6: Final answer
    x = 16,515.25

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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.