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Finding the Fourth Proportional to 47,309, 70,963.50 and 26,534.12

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Solution

The fourth proportional to 47,309, 70,963.50 and 26,534.12 is: 39,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,309 : 70,963.50 = 26,534.12 : x
  2. Step 2: Convert to fraction form
    47,309/70,963.50 = 26,534.12/x
  3. Step 3: Cross multiply
    47,309x = 70,963.50 × 26,534.12
  4. Step 4: Simplify right side
    47,309x = 1,882,954,024.62
  5. Step 5: Solve for x
    x = 1,882,954,024.62/47,309
  6. Step 6: Final answer
    x = 39,801.18

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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.