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Finding the Fourth Proportional to 47,223, 70,846.68 and 17,641.04

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Solution

The fourth proportional to 47,223, 70,846.68 and 17,641.04 is: 26,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,223 : 70,846.68 = 17,641.04 : x
  2. Step 2: Convert to fraction form
    47,223/70,846.68 = 17,641.04/x
  3. Step 3: Cross multiply
    47,223x = 70,846.68 × 17,641.04
  4. Step 4: Simplify right side
    47,223x = 1,249,809,115.75
  5. Step 5: Solve for x
    x = 1,249,809,115.75/47,223
  6. Step 6: Final answer
    x = 26,466.11

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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.