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Finding the Fourth Proportional to 64,294.60, 96,470.70 and 29,216.20

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Solution

The fourth proportional to 64,294.60, 96,470.70 and 29,216.20 is: 43,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,294.60 : 96,470.70 = 29,216.20 : x
  2. Step 2: Convert to fraction form
    64,294.60/96,470.70 = 29,216.20/x
  3. Step 3: Cross multiply
    64,294.60x = 96,470.70 × 29,216.20
  4. Step 4: Simplify right side
    64,294.60x = 2,818,507,265.34
  5. Step 5: Solve for x
    x = 2,818,507,265.34/64,294.60
  6. Step 6: Final answer
    x = 43,837.39

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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.