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Finding the Fourth Proportional to 83,740.64, 115,555.32 and 47,922.44

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Solution

The fourth proportional to 83,740.64, 115,555.32 and 47,922.44 is: 66,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,740.64 : 115,555.32 = 47,922.44 : x
  2. Step 2: Convert to fraction form
    83,740.64/115,555.32 = 47,922.44/x
  3. Step 3: Cross multiply
    83,740.64x = 115,555.32 × 47,922.44
  4. Step 4: Simplify right side
    83,740.64x = 5,537,692,889.38
  5. Step 5: Solve for x
    x = 5,537,692,889.38/83,740.64
  6. Step 6: Final answer
    x = 66,129.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.