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Finding the Fourth Proportional to 82,415.80, 123,569.70 and 32,465.80

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Solution

The fourth proportional to 82,415.80, 123,569.70 and 32,465.80 is: 48,677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,415.80 : 123,569.70 = 32,465.80 : x
  2. Step 2: Convert to fraction form
    82,415.80/123,569.70 = 32,465.80/x
  3. Step 3: Cross multiply
    82,415.80x = 123,569.70 × 32,465.80
  4. Step 4: Simplify right side
    82,415.80x = 4,011,789,166.26
  5. Step 5: Solve for x
    x = 4,011,789,166.26/82,415.80
  6. Step 6: Final answer
    x = 48,677.43

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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.