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Finding the Fourth Proportional to 59,822.34, 82,478.14 and 49,027.47

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Solution

The fourth proportional to 59,822.34, 82,478.14 and 49,027.47 is: 67,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,822.34 : 82,478.14 = 49,027.47 : x
  2. Step 2: Convert to fraction form
    59,822.34/82,478.14 = 49,027.47/x
  3. Step 3: Cross multiply
    59,822.34x = 82,478.14 × 49,027.47
  4. Step 4: Simplify right side
    59,822.34x = 4,043,694,534.51
  5. Step 5: Solve for x
    x = 4,043,694,534.51/59,822.34
  6. Step 6: Final answer
    x = 67,595.06

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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.