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Finding the Fourth Proportional to 98,753.82, 148,146.08 and 32,178.44

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Solution

The fourth proportional to 98,753.82, 148,146.08 and 32,178.44 is: 48,272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,753.82 : 148,146.08 = 32,178.44 : x
  2. Step 2: Convert to fraction form
    98,753.82/148,146.08 = 32,178.44/x
  3. Step 3: Cross multiply
    98,753.82x = 148,146.08 × 32,178.44
  4. Step 4: Simplify right side
    98,753.82x = 4,767,109,746.52
  5. Step 5: Solve for x
    x = 4,767,109,746.52/98,753.82
  6. Step 6: Final answer
    x = 48,272.66

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1.5x scale

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.