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Finding the Fourth Proportional to 64,098.80, 96,092.52 and 30,802.16

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Solution

The fourth proportional to 64,098.80, 96,092.52 and 30,802.16 is: 46,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,098.80 : 96,092.52 = 30,802.16 : x
  2. Step 2: Convert to fraction form
    64,098.80/96,092.52 = 30,802.16/x
  3. Step 3: Cross multiply
    64,098.80x = 96,092.52 × 30,802.16
  4. Step 4: Simplify right side
    64,098.80x = 2,959,857,175.84
  5. Step 5: Solve for x
    x = 2,959,857,175.84/64,098.80
  6. Step 6: Final answer
    x = 46,176.48

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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.