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Finding the Fourth Proportional to 98,849.64, 148,299.12 and 32,293.56

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Solution

The fourth proportional to 98,849.64, 148,299.12 and 32,293.56 is: 48,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,849.64 : 148,299.12 = 32,293.56 : x
  2. Step 2: Convert to fraction form
    98,849.64/148,299.12 = 32,293.56/x
  3. Step 3: Cross multiply
    98,849.64x = 148,299.12 × 32,293.56
  4. Step 4: Simplify right side
    98,849.64x = 4,789,106,529.67
  5. Step 5: Solve for x
    x = 4,789,106,529.67/98,849.64
  6. Step 6: Final answer
    x = 48,448.40

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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.