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Finding the Fourth Proportional to 57,602, 79,490.76 and 31,106

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Solution

The fourth proportional to 57,602, 79,490.76 and 31,106 is: 42,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,602 : 79,490.76 = 31,106 : x
  2. Step 2: Convert to fraction form
    57,602/79,490.76 = 31,106/x
  3. Step 3: Cross multiply
    57,602x = 79,490.76 × 31,106
  4. Step 4: Simplify right side
    57,602x = 2,472,639,580.56
  5. Step 5: Solve for x
    x = 2,472,639,580.56/57,602
  6. Step 6: Final answer
    x = 42,926.28

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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.