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Finding the Fourth Proportional to 47,841, 71,256.14 and 45,342.96

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Solution

The fourth proportional to 47,841, 71,256.14 and 45,342.96 is: 67,535.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,841 : 71,256.14 = 45,342.96 : x
  2. Step 2: Convert to fraction form
    47,841/71,256.14 = 45,342.96/x
  3. Step 3: Cross multiply
    47,841x = 71,256.14 × 45,342.96
  4. Step 4: Simplify right side
    47,841x = 3,230,964,079.06
  5. Step 5: Solve for x
    x = 3,230,964,079.06/47,841
  6. Step 6: Final answer
    x = 67,535.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.