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Finding the Fourth Proportional to 70,932.81, 97,894.17 and 52,996.68

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Solution

The fourth proportional to 70,932.81, 97,894.17 and 52,996.68 is: 73,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,932.81 : 97,894.17 = 52,996.68 : x
  2. Step 2: Convert to fraction form
    70,932.81/97,894.17 = 52,996.68/x
  3. Step 3: Cross multiply
    70,932.81x = 97,894.17 × 52,996.68
  4. Step 4: Simplify right side
    70,932.81x = 5,188,066,001.36
  5. Step 5: Solve for x
    x = 5,188,066,001.36/70,932.81
  6. Step 6: Final answer
    x = 73,140.57

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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.