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Finding the Fourth Proportional to 47,257.88, 65,172.06 and 34,490.84

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Solution

The fourth proportional to 47,257.88, 65,172.06 and 34,490.84 is: 47,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,257.88 : 65,172.06 = 34,490.84 : x
  2. Step 2: Convert to fraction form
    47,257.88/65,172.06 = 34,490.84/x
  3. Step 3: Cross multiply
    47,257.88x = 65,172.06 × 34,490.84
  4. Step 4: Simplify right side
    47,257.88x = 2,247,838,768.07
  5. Step 5: Solve for x
    x = 2,247,838,768.07/47,257.88
  6. Step 6: Final answer
    x = 47,565.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.