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Finding the Fourth Proportional to 57,932, 79,946.16 and 31,436

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Solution

The fourth proportional to 57,932, 79,946.16 and 31,436 is: 43,381.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,932 : 79,946.16 = 31,436 : x
  2. Step 2: Convert to fraction form
    57,932/79,946.16 = 31,436/x
  3. Step 3: Cross multiply
    57,932x = 79,946.16 × 31,436
  4. Step 4: Simplify right side
    57,932x = 2,513,187,485.76
  5. Step 5: Solve for x
    x = 2,513,187,485.76/57,932
  6. Step 6: Final answer
    x = 43,381.68

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