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Finding the Fourth Proportional to 38,470.17, 53,112.83 and 24,865.33

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Solution

The fourth proportional to 38,470.17, 53,112.83 and 24,865.33 is: 34,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,470.17 : 53,112.83 = 24,865.33 : x
  2. Step 2: Convert to fraction form
    38,470.17/53,112.83 = 24,865.33/x
  3. Step 3: Cross multiply
    38,470.17x = 53,112.83 × 24,865.33
  4. Step 4: Simplify right side
    38,470.17x = 1,320,668,173.74
  5. Step 5: Solve for x
    x = 1,320,668,173.74/38,470.17
  6. Step 6: Final answer
    x = 34,329.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.