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Finding the Fourth Proportional to 101,463.66, 152,202.18 and 26,585.64

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Solution

The fourth proportional to 101,463.66, 152,202.18 and 26,585.64 is: 39,880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,463.66 : 152,202.18 = 26,585.64 : x
  2. Step 2: Convert to fraction form
    101,463.66/152,202.18 = 26,585.64/x
  3. Step 3: Cross multiply
    101,463.66x = 152,202.18 × 26,585.64
  4. Step 4: Simplify right side
    101,463.66x = 4,046,392,364.70
  5. Step 5: Solve for x
    x = 4,046,392,364.70/101,463.66
  6. Step 6: Final answer
    x = 39,880.21

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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.