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Finding the Fourth Proportional to 35,374.70, 48,841.68 and 24,778.68

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Solution

The fourth proportional to 35,374.70, 48,841.68 and 24,778.68 is: 34,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,374.70 : 48,841.68 = 24,778.68 : x
  2. Step 2: Convert to fraction form
    35,374.70/48,841.68 = 24,778.68/x
  3. Step 3: Cross multiply
    35,374.70x = 48,841.68 × 24,778.68
  4. Step 4: Simplify right side
    35,374.70x = 1,210,232,359.38
  5. Step 5: Solve for x
    x = 1,210,232,359.38/35,374.70
  6. Step 6: Final answer
    x = 34,211.81

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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.