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Finding the Fourth Proportional to 10,059.62, 15,091.05 and 3,132.50

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Solution

The fourth proportional to 10,059.62, 15,091.05 and 3,132.50 is: 4,699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.62 : 15,091.05 = 3,132.50 : x
  2. Step 2: Convert to fraction form
    10,059.62/15,091.05 = 3,132.50/x
  3. Step 3: Cross multiply
    10,059.62x = 15,091.05 × 3,132.50
  4. Step 4: Simplify right side
    10,059.62x = 47,272,714.13
  5. Step 5: Solve for x
    x = 47,272,714.13/10,059.62
  6. Step 6: Final answer
    x = 4,699.25

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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.