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Finding the Fourth Proportional to 89,207.84, 123,106.74 and 48,922.24

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Solution

The fourth proportional to 89,207.84, 123,106.74 and 48,922.24 is: 67,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,207.84 : 123,106.74 = 48,922.24 : x
  2. Step 2: Convert to fraction form
    89,207.84/123,106.74 = 48,922.24/x
  3. Step 3: Cross multiply
    89,207.84x = 123,106.74 × 48,922.24
  4. Step 4: Simplify right side
    89,207.84x = 6,022,657,479.90
  5. Step 5: Solve for x
    x = 6,022,657,479.90/89,207.84
  6. Step 6: Final answer
    x = 67,512.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.