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Finding the Fourth Proportional to 61,044.16, 91,507.92 and 19,464.16

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Solution

The fourth proportional to 61,044.16, 91,507.92 and 19,464.16 is: 29,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,044.16 : 91,507.92 = 19,464.16 : x
  2. Step 2: Convert to fraction form
    61,044.16/91,507.92 = 19,464.16/x
  3. Step 3: Cross multiply
    61,044.16x = 91,507.92 × 19,464.16
  4. Step 4: Simplify right side
    61,044.16x = 1,781,124,796.15
  5. Step 5: Solve for x
    x = 1,781,124,796.15/61,044.16
  6. Step 6: Final answer
    x = 29,177.64

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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.