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Finding the Fourth Proportional to 55,724.40, 83,590.20 and 29,480.40

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Solution

The fourth proportional to 55,724.40, 83,590.20 and 29,480.40 is: 44,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,724.40 : 83,590.20 = 29,480.40 : x
  2. Step 2: Convert to fraction form
    55,724.40/83,590.20 = 29,480.40/x
  3. Step 3: Cross multiply
    55,724.40x = 83,590.20 × 29,480.40
  4. Step 4: Simplify right side
    55,724.40x = 2,464,272,532.08
  5. Step 5: Solve for x
    x = 2,464,272,532.08/55,724.40
  6. Step 6: Final answer
    x = 44,222.50

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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.