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Finding the Fourth Proportional to 60,048.64, 82,858.28 and 34,207.42

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Solution

The fourth proportional to 60,048.64, 82,858.28 and 34,207.42 is: 47,201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,048.64 : 82,858.28 = 34,207.42 : x
  2. Step 2: Convert to fraction form
    60,048.64/82,858.28 = 34,207.42/x
  3. Step 3: Cross multiply
    60,048.64x = 82,858.28 × 34,207.42
  4. Step 4: Simplify right side
    60,048.64x = 2,834,367,399.11
  5. Step 5: Solve for x
    x = 2,834,367,399.11/60,048.64
  6. Step 6: Final answer
    x = 47,201.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.