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Finding the Fourth Proportional to 76,842.51, 115,282.29 and 24,251.84

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Solution

The fourth proportional to 76,842.51, 115,282.29 and 24,251.84 is: 36,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842.51 : 115,282.29 = 24,251.84 : x
  2. Step 2: Convert to fraction form
    76,842.51/115,282.29 = 24,251.84/x
  3. Step 3: Cross multiply
    76,842.51x = 115,282.29 × 24,251.84
  4. Step 4: Simplify right side
    76,842.51x = 2,795,807,075.50
  5. Step 5: Solve for x
    x = 2,795,807,075.50/76,842.51
  6. Step 6: Final answer
    x = 36,383.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.