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Finding the Fourth Proportional to 56,532.80, 84,799.20 and 47,784.80

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Solution

The fourth proportional to 56,532.80, 84,799.20 and 47,784.80 is: 71,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,532.80 : 84,799.20 = 47,784.80 : x
  2. Step 2: Convert to fraction form
    56,532.80/84,799.20 = 47,784.80/x
  3. Step 3: Cross multiply
    56,532.80x = 84,799.20 × 47,784.80
  4. Step 4: Simplify right side
    56,532.80x = 4,052,112,812.16
  5. Step 5: Solve for x
    x = 4,052,112,812.16/56,532.80
  6. Step 6: Final answer
    x = 71,677.20

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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.