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Finding the Fourth Proportional to 64,473.30, 96,712.38 and 17,729.82

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Solution

The fourth proportional to 64,473.30, 96,712.38 and 17,729.82 is: 26,595.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,473.30 : 96,712.38 = 17,729.82 : x
  2. Step 2: Convert to fraction form
    64,473.30/96,712.38 = 17,729.82/x
  3. Step 3: Cross multiply
    64,473.30x = 96,712.38 × 17,729.82
  4. Step 4: Simplify right side
    64,473.30x = 1,714,693,089.17
  5. Step 5: Solve for x
    x = 1,714,693,089.17/64,473.30
  6. Step 6: Final answer
    x = 26,595.40

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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.