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Finding the Fourth Proportional to 52,886.25, 79,254.79 and 29,204.46

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Solution

The fourth proportional to 52,886.25, 79,254.79 and 29,204.46 is: 43,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,886.25 : 79,254.79 = 29,204.46 : x
  2. Step 2: Convert to fraction form
    52,886.25/79,254.79 = 29,204.46/x
  3. Step 3: Cross multiply
    52,886.25x = 79,254.79 × 29,204.46
  4. Step 4: Simplify right side
    52,886.25x = 2,314,593,271.35
  5. Step 5: Solve for x
    x = 2,314,593,271.35/52,886.25
  6. Step 6: Final answer
    x = 43,765.50

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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.