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Finding the Fourth Proportional to 70,129.34, 96,778.85 and 38,298.24

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Solution

The fourth proportional to 70,129.34, 96,778.85 and 38,298.24 is: 52,851.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,129.34 : 96,778.85 = 38,298.24 : x
  2. Step 2: Convert to fraction form
    70,129.34/96,778.85 = 38,298.24/x
  3. Step 3: Cross multiply
    70,129.34x = 96,778.85 × 38,298.24
  4. Step 4: Simplify right side
    70,129.34x = 3,706,459,920.35
  5. Step 5: Solve for x
    x = 3,706,459,920.35/70,129.34
  6. Step 6: Final answer
    x = 52,851.77

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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.