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Finding the Fourth Proportional to 98,781, 148,184.52 and 32,197.80

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Solution

The fourth proportional to 98,781, 148,184.52 and 32,197.80 is: 48,300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,781 : 148,184.52 = 32,197.80 : x
  2. Step 2: Convert to fraction form
    98,781/148,184.52 = 32,197.80/x
  3. Step 3: Cross multiply
    98,781x = 148,184.52 × 32,197.80
  4. Step 4: Simplify right side
    98,781x = 4,771,215,538.06
  5. Step 5: Solve for x
    x = 4,771,215,538.06/98,781
  6. Step 6: Final answer
    x = 48,300.94

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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.