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Finding the Fourth Proportional to 76,929.85, 106,162.90 and 42,938.40

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Solution

The fourth proportional to 76,929.85, 106,162.90 and 42,938.40 is: 59,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,929.85 : 106,162.90 = 42,938.40 : x
  2. Step 2: Convert to fraction form
    76,929.85/106,162.90 = 42,938.40/x
  3. Step 3: Cross multiply
    76,929.85x = 106,162.90 × 42,938.40
  4. Step 4: Simplify right side
    76,929.85x = 4,558,465,597.65
  5. Step 5: Solve for x
    x = 4,558,465,597.65/76,929.85
  6. Step 6: Final answer
    x = 59,254.83

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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.