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Finding the Fourth Proportional to 59,789.76, 82,509.86 and 34,653.84

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Solution

The fourth proportional to 59,789.76, 82,509.86 and 34,653.84 is: 47,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,789.76 : 82,509.86 = 34,653.84 : x
  2. Step 2: Convert to fraction form
    59,789.76/82,509.86 = 34,653.84/x
  3. Step 3: Cross multiply
    59,789.76x = 82,509.86 × 34,653.84
  4. Step 4: Simplify right side
    59,789.76x = 2,859,283,486.86
  5. Step 5: Solve for x
    x = 2,859,283,486.86/59,789.76
  6. Step 6: Final answer
    x = 47,822.29

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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.