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Finding the Fourth Proportional to 71,018.39, 106,537.71 and 23,617.87

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Solution

The fourth proportional to 71,018.39, 106,537.71 and 23,617.87 is: 35,430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,018.39 : 106,537.71 = 23,617.87 : x
  2. Step 2: Convert to fraction form
    71,018.39/106,537.71 = 23,617.87/x
  3. Step 3: Cross multiply
    71,018.39x = 106,537.71 × 23,617.87
  4. Step 4: Simplify right side
    71,018.39x = 2,516,193,607.10
  5. Step 5: Solve for x
    x = 2,516,193,607.10/71,018.39
  6. Step 6: Final answer
    x = 35,430.17

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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.