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Finding the Fourth Proportional to 38,283.60, 52,828.29 and 22,366.29

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Solution

The fourth proportional to 38,283.60, 52,828.29 and 22,366.29 is: 30,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,283.60 : 52,828.29 = 22,366.29 : x
  2. Step 2: Convert to fraction form
    38,283.60/52,828.29 = 22,366.29/x
  3. Step 3: Cross multiply
    38,283.60x = 52,828.29 × 22,366.29
  4. Step 4: Simplify right side
    38,283.60x = 1,181,572,854.34
  5. Step 5: Solve for x
    x = 1,181,572,854.34/38,283.60
  6. Step 6: Final answer
    x = 30,863.68

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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.