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Finding the Fourth Proportional to 55,934.50, 83,938.20 and 28,232.50

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Solution

The fourth proportional to 55,934.50, 83,938.20 and 28,232.50 is: 42,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,934.50 : 83,938.20 = 28,232.50 : x
  2. Step 2: Convert to fraction form
    55,934.50/83,938.20 = 28,232.50/x
  3. Step 3: Cross multiply
    55,934.50x = 83,938.20 × 28,232.50
  4. Step 4: Simplify right side
    55,934.50x = 2,369,785,231.50
  5. Step 5: Solve for x
    x = 2,369,785,231.50/55,934.50
  6. Step 6: Final answer
    x = 42,367.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.