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Finding the Fourth Proportional to 82,710.60, 124,098.30 and 32,782.20

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Solution

The fourth proportional to 82,710.60, 124,098.30 and 32,782.20 is: 49,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,710.60 : 124,098.30 = 32,782.20 : x
  2. Step 2: Convert to fraction form
    82,710.60/124,098.30 = 32,782.20/x
  3. Step 3: Cross multiply
    82,710.60x = 124,098.30 × 32,782.20
  4. Step 4: Simplify right side
    82,710.60x = 4,068,215,290.26
  5. Step 5: Solve for x
    x = 4,068,215,290.26/82,710.60
  6. Step 6: Final answer
    x = 49,186.14

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1.5x scale

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.