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Finding the Fourth Proportional to 92,401.64, 138,602.91 and 25,842.01

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Solution

The fourth proportional to 92,401.64, 138,602.91 and 25,842.01 is: 38,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,401.64 : 138,602.91 = 25,842.01 : x
  2. Step 2: Convert to fraction form
    92,401.64/138,602.91 = 25,842.01/x
  3. Step 3: Cross multiply
    92,401.64x = 138,602.91 × 25,842.01
  4. Step 4: Simplify right side
    92,401.64x = 3,581,777,786.25
  5. Step 5: Solve for x
    x = 3,581,777,786.25/92,401.64
  6. Step 6: Final answer
    x = 38,763.14

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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.