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Finding the Fourth Proportional to 38,952, 53,763.48 and 22,194.72

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Solution

The fourth proportional to 38,952, 53,763.48 and 22,194.72 is: 30,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,952 : 53,763.48 = 22,194.72 : x
  2. Step 2: Convert to fraction form
    38,952/53,763.48 = 22,194.72/x
  3. Step 3: Cross multiply
    38,952x = 53,763.48 × 22,194.72
  4. Step 4: Simplify right side
    38,952x = 1,193,265,384.83
  5. Step 5: Solve for x
    x = 1,193,265,384.83/38,952
  6. Step 6: Final answer
    x = 30,634.25

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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.