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Finding the Fourth Proportional to 59,642.40, 82,309.68 and 35,770.08

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Solution

The fourth proportional to 59,642.40, 82,309.68 and 35,770.08 is: 49,364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,642.40 : 82,309.68 = 35,770.08 : x
  2. Step 2: Convert to fraction form
    59,642.40/82,309.68 = 35,770.08/x
  3. Step 3: Cross multiply
    59,642.40x = 82,309.68 × 35,770.08
  4. Step 4: Simplify right side
    59,642.40x = 2,944,223,838.37
  5. Step 5: Solve for x
    x = 2,944,223,838.37/59,642.40
  6. Step 6: Final answer
    x = 49,364.61

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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.