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Finding the Fourth Proportional to 48,683.44, 73,047.88 and 47,897.20

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Solution

The fourth proportional to 48,683.44, 73,047.88 and 47,897.20 is: 71,868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,683.44 : 73,047.88 = 47,897.20 : x
  2. Step 2: Convert to fraction form
    48,683.44/73,047.88 = 47,897.20/x
  3. Step 3: Cross multiply
    48,683.44x = 73,047.88 × 47,897.20
  4. Step 4: Simplify right side
    48,683.44x = 3,498,788,917.94
  5. Step 5: Solve for x
    x = 3,498,788,917.94/48,683.44
  6. Step 6: Final answer
    x = 71,868.15

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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.