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Finding the Fourth Proportional to 38,809.50, 53,557.18 and 22,042.50

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Solution

The fourth proportional to 38,809.50, 53,557.18 and 22,042.50 is: 30,418.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,809.50 : 53,557.18 = 22,042.50 : x
  2. Step 2: Convert to fraction form
    38,809.50/53,557.18 = 22,042.50/x
  3. Step 3: Cross multiply
    38,809.50x = 53,557.18 × 22,042.50
  4. Step 4: Simplify right side
    38,809.50x = 1,180,534,140.15
  5. Step 5: Solve for x
    x = 1,180,534,140.15/38,809.50
  6. Step 6: Final answer
    x = 30,418.69

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1.5x scale

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.