Home / 102,097.24-153,145.82-31,982

Finding the Fourth Proportional to 102,097.24, 153,145.82 and 31,982

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Solution

The fourth proportional to 102,097.24, 153,145.82 and 31,982 is: 47,972.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,097.24 : 153,145.82 = 31,982 : x
  2. Step 2: Convert to fraction form
    102,097.24/153,145.82 = 31,982/x
  3. Step 3: Cross multiply
    102,097.24x = 153,145.82 × 31,982
  4. Step 4: Simplify right side
    102,097.24x = 4,897,909,615.24
  5. Step 5: Solve for x
    x = 4,897,909,615.24/102,097.24
  6. Step 6: Final answer
    x = 47,972.99

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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.