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Finding the Fourth Proportional to 47,146.42, 70,750.42 and 17,587.90

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Solution

The fourth proportional to 47,146.42, 70,750.42 and 17,587.90 is: 26,393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,146.42 : 70,750.42 = 17,587.90 : x
  2. Step 2: Convert to fraction form
    47,146.42/70,750.42 = 17,587.90/x
  3. Step 3: Cross multiply
    47,146.42x = 70,750.42 × 17,587.90
  4. Step 4: Simplify right side
    47,146.42x = 1,244,351,311.92
  5. Step 5: Solve for x
    x = 1,244,351,311.92/47,146.42
  6. Step 6: Final answer
    x = 26,393.34

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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.