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Finding the Fourth Proportional to 98,226.81, 147,256.92 and 35,027.91

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Solution

The fourth proportional to 98,226.81, 147,256.92 and 35,027.91 is: 52,512.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,226.81 : 147,256.92 = 35,027.91 : x
  2. Step 2: Convert to fraction form
    98,226.81/147,256.92 = 35,027.91/x
  3. Step 3: Cross multiply
    98,226.81x = 147,256.92 × 35,027.91
  4. Step 4: Simplify right side
    98,226.81x = 5,158,102,140.64
  5. Step 5: Solve for x
    x = 5,158,102,140.64/98,226.81
  6. Step 6: Final answer
    x = 52,512.16

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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.