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Finding the Fourth Proportional to 62,343.47, 85,965.95 and 42,165.32

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Solution

The fourth proportional to 62,343.47, 85,965.95 and 42,165.32 is: 58,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,343.47 : 85,965.95 = 42,165.32 : x
  2. Step 2: Convert to fraction form
    62,343.47/85,965.95 = 42,165.32/x
  3. Step 3: Cross multiply
    62,343.47x = 85,965.95 × 42,165.32
  4. Step 4: Simplify right side
    62,343.47x = 3,624,782,111.18
  5. Step 5: Solve for x
    x = 3,624,782,111.18/62,343.47
  6. Step 6: Final answer
    x = 58,142.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.