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Finding the Fourth Proportional to 89,686.13, 134,482.46 and 33,480

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Solution

The fourth proportional to 89,686.13, 134,482.46 and 33,480 is: 50,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,686.13 : 134,482.46 = 33,480 : x
  2. Step 2: Convert to fraction form
    89,686.13/134,482.46 = 33,480/x
  3. Step 3: Cross multiply
    89,686.13x = 134,482.46 × 33,480
  4. Step 4: Simplify right side
    89,686.13x = 4,502,472,593.40
  5. Step 5: Solve for x
    x = 4,502,472,593.40/89,686.13
  6. Step 6: Final answer
    x = 50,202.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.