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Finding the Fourth Proportional to 83,531.66, 125,284.16 and 24,353.49

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Solution

The fourth proportional to 83,531.66, 125,284.16 and 24,353.49 is: 36,526.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,531.66 : 125,284.16 = 24,353.49 : x
  2. Step 2: Convert to fraction form
    83,531.66/125,284.16 = 24,353.49/x
  3. Step 3: Cross multiply
    83,531.66x = 125,284.16 × 24,353.49
  4. Step 4: Simplify right side
    83,531.66x = 3,051,106,415.95
  5. Step 5: Solve for x
    x = 3,051,106,415.95/83,531.66
  6. Step 6: Final answer
    x = 36,526.35

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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.