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Finding the Fourth Proportional to 59,045, 81,482.10 and 32,549

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Solution

The fourth proportional to 59,045, 81,482.10 and 32,549 is: 44,917.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,045 : 81,482.10 = 32,549 : x
  2. Step 2: Convert to fraction form
    59,045/81,482.10 = 32,549/x
  3. Step 3: Cross multiply
    59,045x = 81,482.10 × 32,549
  4. Step 4: Simplify right side
    59,045x = 2,652,160,872.90
  5. Step 5: Solve for x
    x = 2,652,160,872.90/59,045
  6. Step 6: Final answer
    x = 44,917.62

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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.