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Finding the Fourth Proportional to 98,709.38, 148,079.38 and 32,133.86

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Solution

The fourth proportional to 98,709.38, 148,079.38 and 32,133.86 is: 48,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,709.38 : 148,079.38 = 32,133.86 : x
  2. Step 2: Convert to fraction form
    98,709.38/148,079.38 = 32,133.86/x
  3. Step 3: Cross multiply
    98,709.38x = 148,079.38 × 32,133.86
  4. Step 4: Simplify right side
    98,709.38x = 4,758,362,065.81
  5. Step 5: Solve for x
    x = 4,758,362,065.81/98,709.38
  6. Step 6: Final answer
    x = 48,205.77

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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.