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Finding the Fourth Proportional to 68,506.40, 102,758.14 and 31,570.40

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Solution

The fourth proportional to 68,506.40, 102,758.14 and 31,570.40 is: 47,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,506.40 : 102,758.14 = 31,570.40 : x
  2. Step 2: Convert to fraction form
    68,506.40/102,758.14 = 31,570.40/x
  3. Step 3: Cross multiply
    68,506.40x = 102,758.14 × 31,570.40
  4. Step 4: Simplify right side
    68,506.40x = 3,244,115,583.06
  5. Step 5: Solve for x
    x = 3,244,115,583.06/68,506.40
  6. Step 6: Final answer
    x = 47,354.93

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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.