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Finding the Fourth Proportional to 48,364.50, 66,746.66 and 26,859

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Solution

The fourth proportional to 48,364.50, 66,746.66 and 26,859 is: 37,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,364.50 : 66,746.66 = 26,859 : x
  2. Step 2: Convert to fraction form
    48,364.50/66,746.66 = 26,859/x
  3. Step 3: Cross multiply
    48,364.50x = 66,746.66 × 26,859
  4. Step 4: Simplify right side
    48,364.50x = 1,792,748,540.94
  5. Step 5: Solve for x
    x = 1,792,748,540.94/48,364.50
  6. Step 6: Final answer
    x = 37,067.45

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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.