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Finding the Fourth Proportional to 47,102.16, 65,063.88 and 33,001.68

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Solution

The fourth proportional to 47,102.16, 65,063.88 and 33,001.68 is: 45,586.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,102.16 : 65,063.88 = 33,001.68 : x
  2. Step 2: Convert to fraction form
    47,102.16/65,063.88 = 33,001.68/x
  3. Step 3: Cross multiply
    47,102.16x = 65,063.88 × 33,001.68
  4. Step 4: Simplify right side
    47,102.16x = 2,147,217,347.32
  5. Step 5: Solve for x
    x = 2,147,217,347.32/47,102.16
  6. Step 6: Final answer
    x = 45,586.39

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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.