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Finding the Fourth Proportional to 98,606.70, 147,933.40 and 32,046.84

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Solution

The fourth proportional to 98,606.70, 147,933.40 and 32,046.84 is: 48,077.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,606.70 : 147,933.40 = 32,046.84 : x
  2. Step 2: Convert to fraction form
    98,606.70/147,933.40 = 32,046.84/x
  3. Step 3: Cross multiply
    98,606.70x = 147,933.40 × 32,046.84
  4. Step 4: Simplify right side
    98,606.70x = 4,740,798,000.46
  5. Step 5: Solve for x
    x = 4,740,798,000.46/98,606.70
  6. Step 6: Final answer
    x = 48,077.85

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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.