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Finding the Fourth Proportional to 70,042.25, 96,656.38 and 38,211.14

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Solution

The fourth proportional to 70,042.25, 96,656.38 and 38,211.14 is: 52,730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,042.25 : 96,656.38 = 38,211.14 : x
  2. Step 2: Convert to fraction form
    70,042.25/96,656.38 = 38,211.14/x
  3. Step 3: Cross multiply
    70,042.25x = 96,656.38 × 38,211.14
  4. Step 4: Simplify right side
    70,042.25x = 3,693,349,984.79
  5. Step 5: Solve for x
    x = 3,693,349,984.79/70,042.25
  6. Step 6: Final answer
    x = 52,730.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.