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Finding the Fourth Proportional to 103,008.60, 154,537 and 31,927.54

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Solution

The fourth proportional to 103,008.60, 154,537 and 31,927.54 is: 47,898.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,008.60 : 154,537 = 31,927.54 : x
  2. Step 2: Convert to fraction form
    103,008.60/154,537 = 31,927.54/x
  3. Step 3: Cross multiply
    103,008.60x = 154,537 × 31,927.54
  4. Step 4: Simplify right side
    103,008.60x = 4,933,986,248.98
  5. Step 5: Solve for x
    x = 4,933,986,248.98/103,008.60
  6. Step 6: Final answer
    x = 47,898.78

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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.