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Finding the Fourth Proportional to 76,233.58, 114,455.08 and 38,818.78

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Solution

The fourth proportional to 76,233.58, 114,455.08 and 38,818.78 is: 58,281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,233.58 : 114,455.08 = 38,818.78 : x
  2. Step 2: Convert to fraction form
    76,233.58/114,455.08 = 38,818.78/x
  3. Step 3: Cross multiply
    76,233.58x = 114,455.08 × 38,818.78
  4. Step 4: Simplify right side
    76,233.58x = 4,443,006,570.40
  5. Step 5: Solve for x
    x = 4,443,006,570.40/76,233.58
  6. Step 6: Final answer
    x = 58,281.49

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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.