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Finding the Fourth Proportional to 91,833.62, 137,724.36 and 35,661.74

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Solution

The fourth proportional to 91,833.62, 137,724.36 and 35,661.74 is: 53,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,833.62 : 137,724.36 = 35,661.74 : x
  2. Step 2: Convert to fraction form
    91,833.62/137,724.36 = 35,661.74/x
  3. Step 3: Cross multiply
    91,833.62x = 137,724.36 × 35,661.74
  4. Step 4: Simplify right side
    91,833.62x = 4,911,490,528.57
  5. Step 5: Solve for x
    x = 4,911,490,528.57/91,833.62
  6. Step 6: Final answer
    x = 53,482.49

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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.