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Finding the Fourth Proportional to 43,807.20, 65,710.80 and 32,143.20

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Solution

The fourth proportional to 43,807.20, 65,710.80 and 32,143.20 is: 48,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,807.20 : 65,710.80 = 32,143.20 : x
  2. Step 2: Convert to fraction form
    43,807.20/65,710.80 = 32,143.20/x
  3. Step 3: Cross multiply
    43,807.20x = 65,710.80 × 32,143.20
  4. Step 4: Simplify right side
    43,807.20x = 2,112,155,386.56
  5. Step 5: Solve for x
    x = 2,112,155,386.56/43,807.20
  6. Step 6: Final answer
    x = 48,214.80

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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.