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Finding the Fourth Proportional to 87,097.67, 130,652.58 and 34,507

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Solution

The fourth proportional to 87,097.67, 130,652.58 and 34,507 is: 51,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,097.67 : 130,652.58 = 34,507 : x
  2. Step 2: Convert to fraction form
    87,097.67/130,652.58 = 34,507/x
  3. Step 3: Cross multiply
    87,097.67x = 130,652.58 × 34,507
  4. Step 4: Simplify right side
    87,097.67x = 4,508,428,578.06
  5. Step 5: Solve for x
    x = 4,508,428,578.06/87,097.67
  6. Step 6: Final answer
    x = 51,762.91

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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.