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Finding the Fourth Proportional to 70,948.78, 97,926.38 and 42,649

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Solution

The fourth proportional to 70,948.78, 97,926.38 and 42,649 is: 58,865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,948.78 : 97,926.38 = 42,649 : x
  2. Step 2: Convert to fraction form
    70,948.78/97,926.38 = 42,649/x
  3. Step 3: Cross multiply
    70,948.78x = 97,926.38 × 42,649
  4. Step 4: Simplify right side
    70,948.78x = 4,176,462,180.62
  5. Step 5: Solve for x
    x = 4,176,462,180.62/70,948.78
  6. Step 6: Final answer
    x = 58,865.88

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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.