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Finding the Fourth Proportional to 38,693, 53,401.38 and 22,778.92

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Solution

The fourth proportional to 38,693, 53,401.38 and 22,778.92 is: 31,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,693 : 53,401.38 = 22,778.92 : x
  2. Step 2: Convert to fraction form
    38,693/53,401.38 = 22,778.92/x
  3. Step 3: Cross multiply
    38,693x = 53,401.38 × 22,778.92
  4. Step 4: Simplify right side
    38,693x = 1,216,425,762.91
  5. Step 5: Solve for x
    x = 1,216,425,762.91/38,693
  6. Step 6: Final answer
    x = 31,437.88

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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.