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Finding the Fourth Proportional to 53,420.80, 80,246.40 and 51,462.40

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Solution

The fourth proportional to 53,420.80, 80,246.40 and 51,462.40 is: 77,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,420.80 : 80,246.40 = 51,462.40 : x
  2. Step 2: Convert to fraction form
    53,420.80/80,246.40 = 51,462.40/x
  3. Step 3: Cross multiply
    53,420.80x = 80,246.40 × 51,462.40
  4. Step 4: Simplify right side
    53,420.80x = 4,129,672,335.36
  5. Step 5: Solve for x
    x = 4,129,672,335.36/53,420.80
  6. Step 6: Final answer
    x = 77,304.58

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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.