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Finding the Fourth Proportional to 71,756.64, 99,005.76 and 43,452

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Solution

The fourth proportional to 71,756.64, 99,005.76 and 43,452 is: 59,952.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,756.64 : 99,005.76 = 43,452 : x
  2. Step 2: Convert to fraction form
    71,756.64/99,005.76 = 43,452/x
  3. Step 3: Cross multiply
    71,756.64x = 99,005.76 × 43,452
  4. Step 4: Simplify right side
    71,756.64x = 4,301,998,283.52
  5. Step 5: Solve for x
    x = 4,301,998,283.52/71,756.64
  6. Step 6: Final answer
    x = 59,952.62

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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.