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Finding the Fourth Proportional to 47,031, 70,546.50 and 14,199

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Solution

The fourth proportional to 47,031, 70,546.50 and 14,199 is: 21,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,031 : 70,546.50 = 14,199 : x
  2. Step 2: Convert to fraction form
    47,031/70,546.50 = 14,199/x
  3. Step 3: Cross multiply
    47,031x = 70,546.50 × 14,199
  4. Step 4: Simplify right side
    47,031x = 1,001,689,753.50
  5. Step 5: Solve for x
    x = 1,001,689,753.50/47,031
  6. Step 6: Final answer
    x = 21,298.50

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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.