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Finding the Fourth Proportional to 82,865.60, 124,314.60 and 32,937.20

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Solution

The fourth proportional to 82,865.60, 124,314.60 and 32,937.20 is: 49,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,865.60 : 124,314.60 = 32,937.20 : x
  2. Step 2: Convert to fraction form
    82,865.60/124,314.60 = 32,937.20/x
  3. Step 3: Cross multiply
    82,865.60x = 124,314.60 × 32,937.20
  4. Step 4: Simplify right side
    82,865.60x = 4,094,574,843.12
  5. Step 5: Solve for x
    x = 4,094,574,843.12/82,865.60
  6. Step 6: Final answer
    x = 49,412.24

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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.