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Finding the Fourth Proportional to 83,938.64, 125,950.16 and 52,340.54

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Solution

The fourth proportional to 83,938.64, 125,950.16 and 52,340.54 is: 78,537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,938.64 : 125,950.16 = 52,340.54 : x
  2. Step 2: Convert to fraction form
    83,938.64/125,950.16 = 52,340.54/x
  3. Step 3: Cross multiply
    83,938.64x = 125,950.16 × 52,340.54
  4. Step 4: Simplify right side
    83,938.64x = 6,592,298,888.59
  5. Step 5: Solve for x
    x = 6,592,298,888.59/83,938.64
  6. Step 6: Final answer
    x = 78,537.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.