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Finding the Fourth Proportional to 47,196, 70,794 and 16,031.52

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Solution

The fourth proportional to 47,196, 70,794 and 16,031.52 is: 24,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,196 : 70,794 = 16,031.52 : x
  2. Step 2: Convert to fraction form
    47,196/70,794 = 16,031.52/x
  3. Step 3: Cross multiply
    47,196x = 70,794 × 16,031.52
  4. Step 4: Simplify right side
    47,196x = 1,134,935,426.88
  5. Step 5: Solve for x
    x = 1,134,935,426.88/47,196
  6. Step 6: Final answer
    x = 24,047.28

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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.