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Finding the Fourth Proportional to 61,148.16, 91,663.92 and 19,568.16

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Solution

The fourth proportional to 61,148.16, 91,663.92 and 19,568.16 is: 29,333.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,148.16 : 91,663.92 = 19,568.16 : x
  2. Step 2: Convert to fraction form
    61,148.16/91,663.92 = 19,568.16/x
  3. Step 3: Cross multiply
    61,148.16x = 91,663.92 × 19,568.16
  4. Step 4: Simplify right side
    61,148.16x = 1,793,694,252.79
  5. Step 5: Solve for x
    x = 1,793,694,252.79/61,148.16
  6. Step 6: Final answer
    x = 29,333.58

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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.