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Finding the Fourth Proportional to 38,970.32, 53,779.38 and 22,204.40

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Solution

The fourth proportional to 38,970.32, 53,779.38 and 22,204.40 is: 30,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,970.32 : 53,779.38 = 22,204.40 : x
  2. Step 2: Convert to fraction form
    38,970.32/53,779.38 = 22,204.40/x
  3. Step 3: Cross multiply
    38,970.32x = 53,779.38 × 22,204.40
  4. Step 4: Simplify right side
    38,970.32x = 1,194,138,865.27
  5. Step 5: Solve for x
    x = 1,194,138,865.27/38,970.32
  6. Step 6: Final answer
    x = 30,642.26

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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.