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Finding the Fourth Proportional to 38,834.61, 53,578.86 and 31,652.19

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Solution

The fourth proportional to 38,834.61, 53,578.86 and 31,652.19 is: 43,669.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,834.61 : 53,578.86 = 31,652.19 : x
  2. Step 2: Convert to fraction form
    38,834.61/53,578.86 = 31,652.19/x
  3. Step 3: Cross multiply
    38,834.61x = 53,578.86 × 31,652.19
  4. Step 4: Simplify right side
    38,834.61x = 1,695,888,256.70
  5. Step 5: Solve for x
    x = 1,695,888,256.70/38,834.61
  6. Step 6: Final answer
    x = 43,669.51

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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.