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Finding the Fourth Proportional to 55,870.20, 83,820.15 and 24,266.70

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Solution

The fourth proportional to 55,870.20, 83,820.15 and 24,266.70 is: 36,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,870.20 : 83,820.15 = 24,266.70 : x
  2. Step 2: Convert to fraction form
    55,870.20/83,820.15 = 24,266.70/x
  3. Step 3: Cross multiply
    55,870.20x = 83,820.15 × 24,266.70
  4. Step 4: Simplify right side
    55,870.20x = 2,034,038,434.01
  5. Step 5: Solve for x
    x = 2,034,038,434.01/55,870.20
  6. Step 6: Final answer
    x = 36,406.50

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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.