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Finding the Fourth Proportional to 38,368.50, 52,948.53 and 22,447.14

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Solution

The fourth proportional to 38,368.50, 52,948.53 and 22,447.14 is: 30,977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,368.50 : 52,948.53 = 22,447.14 : x
  2. Step 2: Convert to fraction form
    38,368.50/52,948.53 = 22,447.14/x
  3. Step 3: Cross multiply
    38,368.50x = 52,948.53 × 22,447.14
  4. Step 4: Simplify right side
    38,368.50x = 1,188,543,065.70
  5. Step 5: Solve for x
    x = 1,188,543,065.70/38,368.50
  6. Step 6: Final answer
    x = 30,977.05

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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.