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Finding the Fourth Proportional to 59,054.80, 81,494 and 32,197.84

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Solution

The fourth proportional to 59,054.80, 81,494 and 32,197.84 is: 44,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,054.80 : 81,494 = 32,197.84 : x
  2. Step 2: Convert to fraction form
    59,054.80/81,494 = 32,197.84/x
  3. Step 3: Cross multiply
    59,054.80x = 81,494 × 32,197.84
  4. Step 4: Simplify right side
    59,054.80x = 2,623,930,772.96
  5. Step 5: Solve for x
    x = 2,623,930,772.96/59,054.80
  6. Step 6: Final answer
    x = 44,432.13

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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.