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Finding the Fourth Proportional to 41,138.64, 61,708.29 and 9,973.89

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Solution

The fourth proportional to 41,138.64, 61,708.29 and 9,973.89 is: 14,960.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,138.64 : 61,708.29 = 9,973.89 : x
  2. Step 2: Convert to fraction form
    41,138.64/61,708.29 = 9,973.89/x
  3. Step 3: Cross multiply
    41,138.64x = 61,708.29 × 9,973.89
  4. Step 4: Simplify right side
    41,138.64x = 615,471,696.55
  5. Step 5: Solve for x
    x = 615,471,696.55/41,138.64
  6. Step 6: Final answer
    x = 14,960.92

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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.