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Finding the Fourth Proportional to 29,827.71, 44,750.75 and 15,031.64

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Solution

The fourth proportional to 29,827.71, 44,750.75 and 15,031.64 is: 22,552.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,827.71 : 44,750.75 = 15,031.64 : x
  2. Step 2: Convert to fraction form
    29,827.71/44,750.75 = 15,031.64/x
  3. Step 3: Cross multiply
    29,827.71x = 44,750.75 × 15,031.64
  4. Step 4: Simplify right side
    29,827.71x = 672,677,200.45
  5. Step 5: Solve for x
    x = 672,677,200.45/29,827.71
  6. Step 6: Final answer
    x = 22,552.09

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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.