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Finding the Fourth Proportional to 82,562.58, 123,759.80 and 32,574.06

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Solution

The fourth proportional to 82,562.58, 123,759.80 and 32,574.06 is: 48,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,562.58 : 123,759.80 = 32,574.06 : x
  2. Step 2: Convert to fraction form
    82,562.58/123,759.80 = 32,574.06/x
  3. Step 3: Cross multiply
    82,562.58x = 123,759.80 × 32,574.06
  4. Step 4: Simplify right side
    82,562.58x = 4,031,358,987.92
  5. Step 5: Solve for x
    x = 4,031,358,987.92/82,562.58
  6. Step 6: Final answer
    x = 48,827.92

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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.