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Finding the Fourth Proportional to 40,658.96, 56,109 and 22,753.76

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Solution

The fourth proportional to 40,658.96, 56,109 and 22,753.76 is: 31,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,658.96 : 56,109 = 22,753.76 : x
  2. Step 2: Convert to fraction form
    40,658.96/56,109 = 22,753.76/x
  3. Step 3: Cross multiply
    40,658.96x = 56,109 × 22,753.76
  4. Step 4: Simplify right side
    40,658.96x = 1,276,690,719.84
  5. Step 5: Solve for x
    x = 1,276,690,719.84/40,658.96
  6. Step 6: Final answer
    x = 31,399.98

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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.