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Finding the Fourth Proportional to 56,677.40, 85,013.40 and 19,233.80

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Solution

The fourth proportional to 56,677.40, 85,013.40 and 19,233.80 is: 28,849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,677.40 : 85,013.40 = 19,233.80 : x
  2. Step 2: Convert to fraction form
    56,677.40/85,013.40 = 19,233.80/x
  3. Step 3: Cross multiply
    56,677.40x = 85,013.40 × 19,233.80
  4. Step 4: Simplify right side
    56,677.40x = 1,635,130,732.92
  5. Step 5: Solve for x
    x = 1,635,130,732.92/56,677.40
  6. Step 6: Final answer
    x = 28,849.78

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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.