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Finding the Fourth Proportional to 51,810.48, 71,444.97 and 48,796.20

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Solution

The fourth proportional to 51,810.48, 71,444.97 and 48,796.20 is: 67,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,810.48 : 71,444.97 = 48,796.20 : x
  2. Step 2: Convert to fraction form
    51,810.48/71,444.97 = 48,796.20/x
  3. Step 3: Cross multiply
    51,810.48x = 71,444.97 × 48,796.20
  4. Step 4: Simplify right side
    51,810.48x = 3,486,243,045.11
  5. Step 5: Solve for x
    x = 3,486,243,045.11/51,810.48
  6. Step 6: Final answer
    x = 67,288.38

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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.