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Finding the Fourth Proportional to 74,366.25, 102,587.38 and 47,480.49

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Solution

The fourth proportional to 74,366.25, 102,587.38 and 47,480.49 is: 65,498.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,366.25 : 102,587.38 = 47,480.49 : x
  2. Step 2: Convert to fraction form
    74,366.25/102,587.38 = 47,480.49/x
  3. Step 3: Cross multiply
    74,366.25x = 102,587.38 × 47,480.49
  4. Step 4: Simplify right side
    74,366.25x = 4,870,899,070.22
  5. Step 5: Solve for x
    x = 4,870,899,070.22/74,366.25
  6. Step 6: Final answer
    x = 65,498.79

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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.