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Finding the Fourth Proportional to 29,031.85, 43,547.84 and 7,972.19

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Solution

The fourth proportional to 29,031.85, 43,547.84 and 7,972.19 is: 11,958.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,031.85 : 43,547.84 = 7,972.19 : x
  2. Step 2: Convert to fraction form
    29,031.85/43,547.84 = 7,972.19/x
  3. Step 3: Cross multiply
    29,031.85x = 43,547.84 × 7,972.19
  4. Step 4: Simplify right side
    29,031.85x = 347,171,456.76
  5. Step 5: Solve for x
    x = 347,171,456.76/29,031.85
  6. Step 6: Final answer
    x = 11,958.30

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1.5x scale

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.