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Finding the Fourth Proportional to 52,434, 72,358.92 and 30,085.20

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Solution

The fourth proportional to 52,434, 72,358.92 and 30,085.20 is: 41,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,434 : 72,358.92 = 30,085.20 : x
  2. Step 2: Convert to fraction form
    52,434/72,358.92 = 30,085.20/x
  3. Step 3: Cross multiply
    52,434x = 72,358.92 × 30,085.20
  4. Step 4: Simplify right side
    52,434x = 2,176,932,579.98
  5. Step 5: Solve for x
    x = 2,176,932,579.98/52,434
  6. Step 6: Final answer
    x = 41,517.58

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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.