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Finding the Fourth Proportional to 75,335.84, 112,865.98 and 35,281.32

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Solution

The fourth proportional to 75,335.84, 112,865.98 and 35,281.32 is: 52,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,335.84 : 112,865.98 = 35,281.32 : x
  2. Step 2: Convert to fraction form
    75,335.84/112,865.98 = 35,281.32/x
  3. Step 3: Cross multiply
    75,335.84x = 112,865.98 × 35,281.32
  4. Step 4: Simplify right side
    75,335.84x = 3,982,060,757.49
  5. Step 5: Solve for x
    x = 3,982,060,757.49/75,335.84
  6. Step 6: Final answer
    x = 52,857.45

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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.