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Finding the Fourth Proportional to 75,336.32, 112,866.75 and 35,281.82

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Solution

The fourth proportional to 75,336.32, 112,866.75 and 35,281.82 is: 52,858.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,336.32 : 112,866.75 = 35,281.82 : x
  2. Step 2: Convert to fraction form
    75,336.32/112,866.75 = 35,281.82/x
  3. Step 3: Cross multiply
    75,336.32x = 112,866.75 × 35,281.82
  4. Step 4: Simplify right side
    75,336.32x = 3,982,144,357.49
  5. Step 5: Solve for x
    x = 3,982,144,357.49/75,336.32
  6. Step 6: Final answer
    x = 52,858.23

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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.