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Finding the Fourth Proportional to 64,177.60, 96,264.60 and 29,117.20

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Solution

The fourth proportional to 64,177.60, 96,264.60 and 29,117.20 is: 43,674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,177.60 : 96,264.60 = 29,117.20 : x
  2. Step 2: Convert to fraction form
    64,177.60/96,264.60 = 29,117.20/x
  3. Step 3: Cross multiply
    64,177.60x = 96,264.60 × 29,117.20
  4. Step 4: Simplify right side
    64,177.60x = 2,802,955,611.12
  5. Step 5: Solve for x
    x = 2,802,955,611.12/64,177.60
  6. Step 6: Final answer
    x = 43,674.98

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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.