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Finding the Fourth Proportional to 76,113.57, 105,034.13 and 42,123.49

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Solution

The fourth proportional to 76,113.57, 105,034.13 and 42,123.49 is: 58,128.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,113.57 : 105,034.13 = 42,123.49 : x
  2. Step 2: Convert to fraction form
    76,113.57/105,034.13 = 42,123.49/x
  3. Step 3: Cross multiply
    76,113.57x = 105,034.13 × 42,123.49
  4. Step 4: Simplify right side
    76,113.57x = 4,424,404,124.71
  5. Step 5: Solve for x
    x = 4,424,404,124.71/76,113.57
  6. Step 6: Final answer
    x = 58,128.98

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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.