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Finding the Fourth Proportional to 70,474.86, 97,256.16 and 38,644.56

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Solution

The fourth proportional to 70,474.86, 97,256.16 and 38,644.56 is: 53,329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,474.86 : 97,256.16 = 38,644.56 : x
  2. Step 2: Convert to fraction form
    70,474.86/97,256.16 = 38,644.56/x
  3. Step 3: Cross multiply
    70,474.86x = 97,256.16 × 38,644.56
  4. Step 4: Simplify right side
    70,474.86x = 3,758,421,510.49
  5. Step 5: Solve for x
    x = 3,758,421,510.49/70,474.86
  6. Step 6: Final answer
    x = 53,329.96

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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.