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Finding the Fourth Proportional to 68,455.40, 102,681.66 and 31,519.40

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Solution

The fourth proportional to 68,455.40, 102,681.66 and 31,519.40 is: 47,278.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,455.40 : 102,681.66 = 31,519.40 : x
  2. Step 2: Convert to fraction form
    68,455.40/102,681.66 = 31,519.40/x
  3. Step 3: Cross multiply
    68,455.40x = 102,681.66 × 31,519.40
  4. Step 4: Simplify right side
    68,455.40x = 3,236,464,314.20
  5. Step 5: Solve for x
    x = 3,236,464,314.20/68,455.40
  6. Step 6: Final answer
    x = 47,278.44

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1.5x scale

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.