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Finding the Fourth Proportional to 48,578.67, 67,038.71 and 28,164.71

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Solution

The fourth proportional to 48,578.67, 67,038.71 and 28,164.71 is: 38,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,578.67 : 67,038.71 = 28,164.71 : x
  2. Step 2: Convert to fraction form
    48,578.67/67,038.71 = 28,164.71/x
  3. Step 3: Cross multiply
    48,578.67x = 67,038.71 × 28,164.71
  4. Step 4: Simplify right side
    48,578.67x = 1,888,125,852.70
  5. Step 5: Solve for x
    x = 1,888,125,852.70/48,578.67
  6. Step 6: Final answer
    x = 38,867.38

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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.