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Finding the Fourth Proportional to 29,691, 40,972.38 and 17,760.93

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Solution

The fourth proportional to 29,691, 40,972.38 and 17,760.93 is: 24,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,691 : 40,972.38 = 17,760.93 : x
  2. Step 2: Convert to fraction form
    29,691/40,972.38 = 17,760.93/x
  3. Step 3: Cross multiply
    29,691x = 40,972.38 × 17,760.93
  4. Step 4: Simplify right side
    29,691x = 727,707,573.11
  5. Step 5: Solve for x
    x = 727,707,573.11/29,691
  6. Step 6: Final answer
    x = 24,509.37

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1.5x scale

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.