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Finding the Fourth Proportional to 98,084.64, 147,126.69 and 27,002.01

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Solution

The fourth proportional to 98,084.64, 147,126.69 and 27,002.01 is: 40,502.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,084.64 : 147,126.69 = 27,002.01 : x
  2. Step 2: Convert to fraction form
    98,084.64/147,126.69 = 27,002.01/x
  3. Step 3: Cross multiply
    98,084.64x = 147,126.69 × 27,002.01
  4. Step 4: Simplify right side
    98,084.64x = 3,972,716,354.65
  5. Step 5: Solve for x
    x = 3,972,716,354.65/98,084.64
  6. Step 6: Final answer
    x = 40,502.94

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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.