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Finding the Fourth Proportional to 47,034, 70,551 and 14,202

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Solution

The fourth proportional to 47,034, 70,551 and 14,202 is: 21,303

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,034 : 70,551 = 14,202 : x
  2. Step 2: Convert to fraction form
    47,034/70,551 = 14,202/x
  3. Step 3: Cross multiply
    47,034x = 70,551 × 14,202
  4. Step 4: Simplify right side
    47,034x = 1,001,965,302
  5. Step 5: Solve for x
    x = 1,001,965,302/47,034
  6. Step 6: Final answer
    x = 21,303

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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.