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Finding the Fourth Proportional to 38,569.11, 53,210.16 and 24,220.50

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Solution

The fourth proportional to 38,569.11, 53,210.16 and 24,220.50 is: 33,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,569.11 : 53,210.16 = 24,220.50 : x
  2. Step 2: Convert to fraction form
    38,569.11/53,210.16 = 24,220.50/x
  3. Step 3: Cross multiply
    38,569.11x = 53,210.16 × 24,220.50
  4. Step 4: Simplify right side
    38,569.11x = 1,288,776,680.28
  5. Step 5: Solve for x
    x = 1,288,776,680.28/38,569.11
  6. Step 6: Final answer
    x = 33,414.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.