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Finding the Fourth Proportional to 38,283.57, 52,826.62 and 22,356.45

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Solution

The fourth proportional to 38,283.57, 52,826.62 and 22,356.45 is: 30,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,283.57 : 52,826.62 = 22,356.45 : x
  2. Step 2: Convert to fraction form
    38,283.57/52,826.62 = 22,356.45/x
  3. Step 3: Cross multiply
    38,283.57x = 52,826.62 × 22,356.45
  4. Step 4: Simplify right side
    38,283.57x = 1,181,015,688.70
  5. Step 5: Solve for x
    x = 1,181,015,688.70/38,283.57
  6. Step 6: Final answer
    x = 30,849.15

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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.