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Finding the Fourth Proportional to 100,548.30, 150,842.70 and 29,470.80

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Solution

The fourth proportional to 100,548.30, 150,842.70 and 29,470.80 is: 44,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,548.30 : 150,842.70 = 29,470.80 : x
  2. Step 2: Convert to fraction form
    100,548.30/150,842.70 = 29,470.80/x
  3. Step 3: Cross multiply
    100,548.30x = 150,842.70 × 29,470.80
  4. Step 4: Simplify right side
    100,548.30x = 4,445,455,043.16
  5. Step 5: Solve for x
    x = 4,445,455,043.16/100,548.30
  6. Step 6: Final answer
    x = 44,212.14

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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.