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Finding the Fourth Proportional to 117,023.92, 175,376.78 and 49,499.80

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Solution

The fourth proportional to 117,023.92, 175,376.78 and 49,499.80 is: 74,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,023.92 : 175,376.78 = 49,499.80 : x
  2. Step 2: Convert to fraction form
    117,023.92/175,376.78 = 49,499.80/x
  3. Step 3: Cross multiply
    117,023.92x = 175,376.78 × 49,499.80
  4. Step 4: Simplify right side
    117,023.92x = 8,681,114,410.26
  5. Step 5: Solve for x
    x = 8,681,114,410.26/117,023.92
  6. Step 6: Final answer
    x = 74,182.40

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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.