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Finding the Fourth Proportional to 64,242.64, 96,354.24 and 17,499.20

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Solution

The fourth proportional to 64,242.64, 96,354.24 and 17,499.20 is: 26,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,242.64 : 96,354.24 = 17,499.20 : x
  2. Step 2: Convert to fraction form
    64,242.64/96,354.24 = 17,499.20/x
  3. Step 3: Cross multiply
    64,242.64x = 96,354.24 × 17,499.20
  4. Step 4: Simplify right side
    64,242.64x = 1,686,122,116.61
  5. Step 5: Solve for x
    x = 1,686,122,116.61/64,242.64
  6. Step 6: Final answer
    x = 26,246.15

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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.