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Finding the Fourth Proportional to 105,472.34, 145,552.06 and 57,728.76

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Solution

The fourth proportional to 105,472.34, 145,552.06 and 57,728.76 is: 79,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,472.34 : 145,552.06 = 57,728.76 : x
  2. Step 2: Convert to fraction form
    105,472.34/145,552.06 = 57,728.76/x
  3. Step 3: Cross multiply
    105,472.34x = 145,552.06 × 57,728.76
  4. Step 4: Simplify right side
    105,472.34x = 8,402,539,939.25
  5. Step 5: Solve for x
    x = 8,402,539,939.25/105,472.34
  6. Step 6: Final answer
    x = 79,665.82

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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.