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Finding the Fourth Proportional to 86,992.40, 130,493.56 and 24,658

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Solution

The fourth proportional to 86,992.40, 130,493.56 and 24,658 is: 36,988.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,992.40 : 130,493.56 = 24,658 : x
  2. Step 2: Convert to fraction form
    86,992.40/130,493.56 = 24,658/x
  3. Step 3: Cross multiply
    86,992.40x = 130,493.56 × 24,658
  4. Step 4: Simplify right side
    86,992.40x = 3,217,710,202.48
  5. Step 5: Solve for x
    x = 3,217,710,202.48/86,992.40
  6. Step 6: Final answer
    x = 36,988.41

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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.