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Finding the Fourth Proportional to 48,347.76, 66,720.54 and 26,838

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Solution

The fourth proportional to 48,347.76, 66,720.54 and 26,838 is: 37,036.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,347.76 : 66,720.54 = 26,838 : x
  2. Step 2: Convert to fraction form
    48,347.76/66,720.54 = 26,838/x
  3. Step 3: Cross multiply
    48,347.76x = 66,720.54 × 26,838
  4. Step 4: Simplify right side
    48,347.76x = 1,790,645,852.52
  5. Step 5: Solve for x
    x = 1,790,645,852.52/48,347.76
  6. Step 6: Final answer
    x = 37,036.79

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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.