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Finding the Fourth Proportional to 82,859.60, 124,305.60 and 32,931.20

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Solution

The fourth proportional to 82,859.60, 124,305.60 and 32,931.20 is: 49,403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,859.60 : 124,305.60 = 32,931.20 : x
  2. Step 2: Convert to fraction form
    82,859.60/124,305.60 = 32,931.20/x
  3. Step 3: Cross multiply
    82,859.60x = 124,305.60 × 32,931.20
  4. Step 4: Simplify right side
    82,859.60x = 4,093,532,574.72
  5. Step 5: Solve for x
    x = 4,093,532,574.72/82,859.60
  6. Step 6: Final answer
    x = 49,403.24

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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.