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Finding the Fourth Proportional to 70,532.64, 97,342.20 and 40,320.72

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Solution

The fourth proportional to 70,532.64, 97,342.20 and 40,320.72 is: 55,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,532.64 : 97,342.20 = 40,320.72 : x
  2. Step 2: Convert to fraction form
    70,532.64/97,342.20 = 40,320.72/x
  3. Step 3: Cross multiply
    70,532.64x = 97,342.20 × 40,320.72
  4. Step 4: Simplify right side
    70,532.64x = 3,924,907,590.38
  5. Step 5: Solve for x
    x = 3,924,907,590.38/70,532.64
  6. Step 6: Final answer
    x = 55,646.68

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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.