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Finding the Fourth Proportional to 38,971.32, 53,780.76 and 22,205.40

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Solution

The fourth proportional to 38,971.32, 53,780.76 and 22,205.40 is: 30,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,971.32 : 53,780.76 = 22,205.40 : x
  2. Step 2: Convert to fraction form
    38,971.32/53,780.76 = 22,205.40/x
  3. Step 3: Cross multiply
    38,971.32x = 53,780.76 × 22,205.40
  4. Step 4: Simplify right side
    38,971.32x = 1,194,223,288.10
  5. Step 5: Solve for x
    x = 1,194,223,288.10/38,971.32
  6. Step 6: Final answer
    x = 30,643.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.