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Finding the Fourth Proportional to 59,677.50, 82,356.96 and 32,821.14

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Solution

The fourth proportional to 59,677.50, 82,356.96 and 32,821.14 is: 45,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,677.50 : 82,356.96 = 32,821.14 : x
  2. Step 2: Convert to fraction form
    59,677.50/82,356.96 = 32,821.14/x
  3. Step 3: Cross multiply
    59,677.50x = 82,356.96 × 32,821.14
  4. Step 4: Simplify right side
    59,677.50x = 2,703,049,314.13
  5. Step 5: Solve for x
    x = 2,703,049,314.13/59,677.50
  6. Step 6: Final answer
    x = 45,294.28

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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.