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Finding the Fourth Proportional to 56,000.75, 83,979.25 and 24,814.13

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Solution

The fourth proportional to 56,000.75, 83,979.25 and 24,814.13 is: 37,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,000.75 : 83,979.25 = 24,814.13 : x
  2. Step 2: Convert to fraction form
    56,000.75/83,979.25 = 24,814.13/x
  3. Step 3: Cross multiply
    56,000.75x = 83,979.25 × 24,814.13
  4. Step 4: Simplify right side
    56,000.75x = 2,083,871,544.87
  5. Step 5: Solve for x
    x = 2,083,871,544.87/56,000.75
  6. Step 6: Final answer
    x = 37,211.50

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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.