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Finding the Fourth Proportional to 38,478.60, 53,091.45 and 23,370.84

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Solution

The fourth proportional to 38,478.60, 53,091.45 and 23,370.84 is: 32,246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,478.60 : 53,091.45 = 23,370.84 : x
  2. Step 2: Convert to fraction form
    38,478.60/53,091.45 = 23,370.84/x
  3. Step 3: Cross multiply
    38,478.60x = 53,091.45 × 23,370.84
  4. Step 4: Simplify right side
    38,478.60x = 1,240,791,783.32
  5. Step 5: Solve for x
    x = 1,240,791,783.32/38,478.60
  6. Step 6: Final answer
    x = 32,246.28

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Why These Related Problems?

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