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Finding the Fourth Proportional to 38,932.50, 53,726.94 and 22,165.50

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Solution

The fourth proportional to 38,932.50, 53,726.94 and 22,165.50 is: 30,588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,932.50 : 53,726.94 = 22,165.50 : x
  2. Step 2: Convert to fraction form
    38,932.50/53,726.94 = 22,165.50/x
  3. Step 3: Cross multiply
    38,932.50x = 53,726.94 × 22,165.50
  4. Step 4: Simplify right side
    38,932.50x = 1,190,884,488.57
  5. Step 5: Solve for x
    x = 1,190,884,488.57/38,932.50
  6. Step 6: Final answer
    x = 30,588.44

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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.