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Finding the Fourth Proportional to 76,123.68, 114,202.38 and 22,813.52

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Solution

The fourth proportional to 76,123.68, 114,202.38 and 22,813.52 is: 34,225.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,123.68 : 114,202.38 = 22,813.52 : x
  2. Step 2: Convert to fraction form
    76,123.68/114,202.38 = 22,813.52/x
  3. Step 3: Cross multiply
    76,123.68x = 114,202.38 × 22,813.52
  4. Step 4: Simplify right side
    76,123.68x = 2,605,358,280.18
  5. Step 5: Solve for x
    x = 2,605,358,280.18/76,123.68
  6. Step 6: Final answer
    x = 34,225.33

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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.