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Finding the Fourth Proportional to 70,307.70, 97,023.33 and 38,475.96

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Solution

The fourth proportional to 70,307.70, 97,023.33 and 38,475.96 is: 53,096.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,307.70 : 97,023.33 = 38,475.96 : x
  2. Step 2: Convert to fraction form
    70,307.70/97,023.33 = 38,475.96/x
  3. Step 3: Cross multiply
    70,307.70x = 97,023.33 × 38,475.96
  4. Step 4: Simplify right side
    70,307.70x = 3,733,065,764.15
  5. Step 5: Solve for x
    x = 3,733,065,764.15/70,307.70
  6. Step 6: Final answer
    x = 53,096.12

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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.