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Finding the Fourth Proportional to 47,267, 70,912.02 and 14,435

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Solution

The fourth proportional to 47,267, 70,912.02 and 14,435 is: 21,656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,267 : 70,912.02 = 14,435 : x
  2. Step 2: Convert to fraction form
    47,267/70,912.02 = 14,435/x
  3. Step 3: Cross multiply
    47,267x = 70,912.02 × 14,435
  4. Step 4: Simplify right side
    47,267x = 1,023,615,008.70
  5. Step 5: Solve for x
    x = 1,023,615,008.70/47,267
  6. Step 6: Final answer
    x = 21,656.02

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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.