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Finding the Fourth Proportional to 97,814.40, 146,732.40 and 31,243.20

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Solution

The fourth proportional to 97,814.40, 146,732.40 and 31,243.20 is: 46,868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,814.40 : 146,732.40 = 31,243.20 : x
  2. Step 2: Convert to fraction form
    97,814.40/146,732.40 = 31,243.20/x
  3. Step 3: Cross multiply
    97,814.40x = 146,732.40 × 31,243.20
  4. Step 4: Simplify right side
    97,814.40x = 4,584,389,719.68
  5. Step 5: Solve for x
    x = 4,584,389,719.68/97,814.40
  6. Step 6: Final answer
    x = 46,868.25

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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.