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Finding the Fourth Proportional to 38,827.60, 58,255.80 and 15,470.80

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Solution

The fourth proportional to 38,827.60, 58,255.80 and 15,470.80 is: 23,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,827.60 : 58,255.80 = 15,470.80 : x
  2. Step 2: Convert to fraction form
    38,827.60/58,255.80 = 15,470.80/x
  3. Step 3: Cross multiply
    38,827.60x = 58,255.80 × 15,470.80
  4. Step 4: Simplify right side
    38,827.60x = 901,263,830.64
  5. Step 5: Solve for x
    x = 901,263,830.64/38,827.60
  6. Step 6: Final answer
    x = 23,211.94

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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.