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Finding the Fourth Proportional to 48,115.31, 66,400.54 and 26,894.63

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Solution

The fourth proportional to 48,115.31, 66,400.54 and 26,894.63 is: 37,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,115.31 : 66,400.54 = 26,894.63 : x
  2. Step 2: Convert to fraction form
    48,115.31/66,400.54 = 26,894.63/x
  3. Step 3: Cross multiply
    48,115.31x = 66,400.54 × 26,894.63
  4. Step 4: Simplify right side
    48,115.31x = 1,785,817,955.10
  5. Step 5: Solve for x
    x = 1,785,817,955.10/48,115.31
  6. Step 6: Final answer
    x = 37,115.38

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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.