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Finding the Fourth Proportional to 59,335.40, 89,002.92 and 24,275

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Solution

The fourth proportional to 59,335.40, 89,002.92 and 24,275 is: 36,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,335.40 : 89,002.92 = 24,275 : x
  2. Step 2: Convert to fraction form
    59,335.40/89,002.92 = 24,275/x
  3. Step 3: Cross multiply
    59,335.40x = 89,002.92 × 24,275
  4. Step 4: Simplify right side
    59,335.40x = 2,160,545,883
  5. Step 5: Solve for x
    x = 2,160,545,883/59,335.40
  6. Step 6: Final answer
    x = 36,412.43

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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.