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Finding the Fourth Proportional to 52,443.40, 78,549.90 and 51,291.40

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Solution

The fourth proportional to 52,443.40, 78,549.90 and 51,291.40 is: 76,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,443.40 : 78,549.90 = 51,291.40 : x
  2. Step 2: Convert to fraction form
    52,443.40/78,549.90 = 51,291.40/x
  3. Step 3: Cross multiply
    52,443.40x = 78,549.90 × 51,291.40
  4. Step 4: Simplify right side
    52,443.40x = 4,028,934,340.86
  5. Step 5: Solve for x
    x = 4,028,934,340.86/52,443.40
  6. Step 6: Final answer
    x = 76,824.43

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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.