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Finding the Fourth Proportional to 64,278.40, 96,352.80 and 29,243.20

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Solution

The fourth proportional to 64,278.40, 96,352.80 and 29,243.20 is: 43,835.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,278.40 : 96,352.80 = 29,243.20 : x
  2. Step 2: Convert to fraction form
    64,278.40/96,352.80 = 29,243.20/x
  3. Step 3: Cross multiply
    64,278.40x = 96,352.80 × 29,243.20
  4. Step 4: Simplify right side
    64,278.40x = 2,817,664,200.96
  5. Step 5: Solve for x
    x = 2,817,664,200.96/64,278.40
  6. Step 6: Final answer
    x = 43,835.32

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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.