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Finding the Fourth Proportional to 71,690.64, 107,510.04 and 24,298.08

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Solution

The fourth proportional to 71,690.64, 107,510.04 and 24,298.08 is: 36,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,690.64 : 107,510.04 = 24,298.08 : x
  2. Step 2: Convert to fraction form
    71,690.64/107,510.04 = 24,298.08/x
  3. Step 3: Cross multiply
    71,690.64x = 107,510.04 × 24,298.08
  4. Step 4: Simplify right side
    71,690.64x = 2,612,287,552.72
  5. Step 5: Solve for x
    x = 2,612,287,552.72/71,690.64
  6. Step 6: Final answer
    x = 36,438.33

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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.