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Finding the Fourth Proportional to 38,480.94, 53,117.82 and 22,578.72

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Solution

The fourth proportional to 38,480.94, 53,117.82 and 22,578.72 is: 31,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,480.94 : 53,117.82 = 22,578.72 : x
  2. Step 2: Convert to fraction form
    38,480.94/53,117.82 = 22,578.72/x
  3. Step 3: Cross multiply
    38,480.94x = 53,117.82 × 22,578.72
  4. Step 4: Simplify right side
    38,480.94x = 1,199,332,384.79
  5. Step 5: Solve for x
    x = 1,199,332,384.79/38,480.94
  6. Step 6: Final answer
    x = 31,166.92

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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.