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Finding the Fourth Proportional to 98,652.42, 147,913.61 and 35,440.83

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Solution

The fourth proportional to 98,652.42, 147,913.61 and 35,440.83 is: 53,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,652.42 : 147,913.61 = 35,440.83 : x
  2. Step 2: Convert to fraction form
    98,652.42/147,913.61 = 35,440.83/x
  3. Step 3: Cross multiply
    98,652.42x = 147,913.61 × 35,440.83
  4. Step 4: Simplify right side
    98,652.42x = 5,242,180,929.49
  5. Step 5: Solve for x
    x = 5,242,180,929.49/98,652.42
  6. Step 6: Final answer
    x = 53,137.88

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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.