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Finding the Fourth Proportional to 97,679.40, 146,519.10 and 23,807.40

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Solution

The fourth proportional to 97,679.40, 146,519.10 and 23,807.40 is: 35,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,679.40 : 146,519.10 = 23,807.40 : x
  2. Step 2: Convert to fraction form
    97,679.40/146,519.10 = 23,807.40/x
  3. Step 3: Cross multiply
    97,679.40x = 146,519.10 × 23,807.40
  4. Step 4: Simplify right side
    97,679.40x = 3,488,238,821.34
  5. Step 5: Solve for x
    x = 3,488,238,821.34/97,679.40
  6. Step 6: Final answer
    x = 35,711.10

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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.