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Finding the Fourth Proportional to 38,407.98, 53,002.76 and 22,489.22

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Solution

The fourth proportional to 38,407.98, 53,002.76 and 22,489.22 is: 31,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,407.98 : 53,002.76 = 22,489.22 : x
  2. Step 2: Convert to fraction form
    38,407.98/53,002.76 = 22,489.22/x
  3. Step 3: Cross multiply
    38,407.98x = 53,002.76 × 22,489.22
  4. Step 4: Simplify right side
    38,407.98x = 1,191,990,730.25
  5. Step 5: Solve for x
    x = 1,191,990,730.25/38,407.98
  6. Step 6: Final answer
    x = 31,034.98

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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.