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Finding the Fourth Proportional to 98,969.60, 148,460.74 and 34,919.88

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Solution

The fourth proportional to 98,969.60, 148,460.74 and 34,919.88 is: 52,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,969.60 : 148,460.74 = 34,919.88 : x
  2. Step 2: Convert to fraction form
    98,969.60/148,460.74 = 34,919.88/x
  3. Step 3: Cross multiply
    98,969.60x = 148,460.74 × 34,919.88
  4. Step 4: Simplify right side
    98,969.60x = 5,184,231,138.21
  5. Step 5: Solve for x
    x = 5,184,231,138.21/98,969.60
  6. Step 6: Final answer
    x = 52,382.06

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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.