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Finding the Fourth Proportional to 47,751.42, 71,607.42 and 20,735.52

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Solution

The fourth proportional to 47,751.42, 71,607.42 and 20,735.52 is: 31,094.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751.42 : 71,607.42 = 20,735.52 : x
  2. Step 2: Convert to fraction form
    47,751.42/71,607.42 = 20,735.52/x
  3. Step 3: Cross multiply
    47,751.42x = 71,607.42 × 20,735.52
  4. Step 4: Simplify right side
    47,751.42x = 1,484,817,089.56
  5. Step 5: Solve for x
    x = 1,484,817,089.56/47,751.42
  6. Step 6: Final answer
    x = 31,094.72

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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.