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Finding the Fourth Proportional to 105,472.56, 145,552 and 59,541.86

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Solution

The fourth proportional to 105,472.56, 145,552 and 59,541.86 is: 82,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,472.56 : 145,552 = 59,541.86 : x
  2. Step 2: Convert to fraction form
    105,472.56/145,552 = 59,541.86/x
  3. Step 3: Cross multiply
    105,472.56x = 145,552 × 59,541.86
  4. Step 4: Simplify right side
    105,472.56x = 8,666,436,806.72
  5. Step 5: Solve for x
    x = 8,666,436,806.72/105,472.56
  6. Step 6: Final answer
    x = 82,167.69

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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.