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Finding the Fourth Proportional to 98,668.47, 147,969.21 and 32,092.09

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Solution

The fourth proportional to 98,668.47, 147,969.21 and 32,092.09 is: 48,127.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,668.47 : 147,969.21 = 32,092.09 : x
  2. Step 2: Convert to fraction form
    98,668.47/147,969.21 = 32,092.09/x
  3. Step 3: Cross multiply
    98,668.47x = 147,969.21 × 32,092.09
  4. Step 4: Simplify right side
    98,668.47x = 4,748,641,204.55
  5. Step 5: Solve for x
    x = 4,748,641,204.55/98,668.47
  6. Step 6: Final answer
    x = 48,127.24

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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.