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Finding the Fourth Proportional to 70,423.74, 97,192.92 and 40,213.38

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Solution

The fourth proportional to 70,423.74, 97,192.92 and 40,213.38 is: 55,499.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,423.74 : 97,192.92 = 40,213.38 : x
  2. Step 2: Convert to fraction form
    70,423.74/97,192.92 = 40,213.38/x
  3. Step 3: Cross multiply
    70,423.74x = 97,192.92 × 40,213.38
  4. Step 4: Simplify right side
    70,423.74x = 3,908,455,825.27
  5. Step 5: Solve for x
    x = 3,908,455,825.27/70,423.74
  6. Step 6: Final answer
    x = 55,499.12

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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.