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Finding the Fourth Proportional to 60,434, 90,586.20 and 29,200.40

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Solution

The fourth proportional to 60,434, 90,586.20 and 29,200.40 is: 43,769.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,434 : 90,586.20 = 29,200.40 : x
  2. Step 2: Convert to fraction form
    60,434/90,586.20 = 29,200.40/x
  3. Step 3: Cross multiply
    60,434x = 90,586.20 × 29,200.40
  4. Step 4: Simplify right side
    60,434x = 2,645,153,274.48
  5. Step 5: Solve for x
    x = 2,645,153,274.48/60,434
  6. Step 6: Final answer
    x = 43,769.29

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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.