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Finding the Fourth Proportional to 56,002.89, 83,975.17 and 26,412.78

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Solution

The fourth proportional to 56,002.89, 83,975.17 and 26,412.78 is: 39,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,002.89 : 83,975.17 = 26,412.78 : x
  2. Step 2: Convert to fraction form
    56,002.89/83,975.17 = 26,412.78/x
  3. Step 3: Cross multiply
    56,002.89x = 83,975.17 × 26,412.78
  4. Step 4: Simplify right side
    56,002.89x = 2,218,017,690.67
  5. Step 5: Solve for x
    x = 2,218,017,690.67/56,002.89
  6. Step 6: Final answer
    x = 39,605.41

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Why These Related Problems?

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