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Finding the Fourth Proportional to 70,458.64, 97,223.16 and 42,160.48

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Solution

The fourth proportional to 70,458.64, 97,223.16 and 42,160.48 is: 58,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,458.64 : 97,223.16 = 42,160.48 : x
  2. Step 2: Convert to fraction form
    70,458.64/97,223.16 = 42,160.48/x
  3. Step 3: Cross multiply
    70,458.64x = 97,223.16 × 42,160.48
  4. Step 4: Simplify right side
    70,458.64x = 4,098,975,092.72
  5. Step 5: Solve for x
    x = 4,098,975,092.72/70,458.64
  6. Step 6: Final answer
    x = 58,175.62

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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.