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Finding the Fourth Proportional to 55,468.32, 83,173.32 and 47,711.76

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Solution

The fourth proportional to 55,468.32, 83,173.32 and 47,711.76 is: 71,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,468.32 : 83,173.32 = 47,711.76 : x
  2. Step 2: Convert to fraction form
    55,468.32/83,173.32 = 47,711.76/x
  3. Step 3: Cross multiply
    55,468.32x = 83,173.32 × 47,711.76
  4. Step 4: Simplify right side
    55,468.32x = 3,968,345,482.24
  5. Step 5: Solve for x
    x = 3,968,345,482.24/55,468.32
  6. Step 6: Final answer
    x = 71,542.56

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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.