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Finding the Fourth Proportional to 70,475.85, 97,256.16 and 38,644.20

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Solution

The fourth proportional to 70,475.85, 97,256.16 and 38,644.20 is: 53,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,475.85 : 97,256.16 = 38,644.20 : x
  2. Step 2: Convert to fraction form
    70,475.85/97,256.16 = 38,644.20/x
  3. Step 3: Cross multiply
    70,475.85x = 97,256.16 × 38,644.20
  4. Step 4: Simplify right side
    70,475.85x = 3,758,386,498.27
  5. Step 5: Solve for x
    x = 3,758,386,498.27/70,475.85
  6. Step 6: Final answer
    x = 53,328.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.