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Finding the Fourth Proportional to 102,661.48, 153,992.22 and 38,631.66

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Solution

The fourth proportional to 102,661.48, 153,992.22 and 38,631.66 is: 57,947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,661.48 : 153,992.22 = 38,631.66 : x
  2. Step 2: Convert to fraction form
    102,661.48/153,992.22 = 38,631.66/x
  3. Step 3: Cross multiply
    102,661.48x = 153,992.22 × 38,631.66
  4. Step 4: Simplify right side
    102,661.48x = 5,948,975,085.69
  5. Step 5: Solve for x
    x = 5,948,975,085.69/102,661.48
  6. Step 6: Final answer
    x = 57,947.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.