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Finding the Fourth Proportional to 61,135.69, 84,382.25 and 37,275.51

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Solution

The fourth proportional to 61,135.69, 84,382.25 and 37,275.51 is: 51,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,135.69 : 84,382.25 = 37,275.51 : x
  2. Step 2: Convert to fraction form
    61,135.69/84,382.25 = 37,275.51/x
  3. Step 3: Cross multiply
    61,135.69x = 84,382.25 × 37,275.51
  4. Step 4: Simplify right side
    61,135.69x = 3,145,391,217.32
  5. Step 5: Solve for x
    x = 3,145,391,217.32/61,135.69
  6. Step 6: Final answer
    x = 51,449.35

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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.