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Finding the Fourth Proportional to 59,820.80, 82,539.52 and 34,655.76

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Solution

The fourth proportional to 59,820.80, 82,539.52 and 34,655.76 is: 47,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,820.80 : 82,539.52 = 34,655.76 : x
  2. Step 2: Convert to fraction form
    59,820.80/82,539.52 = 34,655.76/x
  3. Step 3: Cross multiply
    59,820.80x = 82,539.52 × 34,655.76
  4. Step 4: Simplify right side
    59,820.80x = 2,860,469,795.64
  5. Step 5: Solve for x
    x = 2,860,469,795.64/59,820.80
  6. Step 6: Final answer
    x = 47,817.31

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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.