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Finding the Fourth Proportional to 75,492.34, 113,238.78 and 22,902.28

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Solution

The fourth proportional to 75,492.34, 113,238.78 and 22,902.28 is: 34,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,492.34 : 113,238.78 = 22,902.28 : x
  2. Step 2: Convert to fraction form
    75,492.34/113,238.78 = 22,902.28/x
  3. Step 3: Cross multiply
    75,492.34x = 113,238.78 × 22,902.28
  4. Step 4: Simplify right side
    75,492.34x = 2,593,426,246.42
  5. Step 5: Solve for x
    x = 2,593,426,246.42/75,492.34
  6. Step 6: Final answer
    x = 34,353.50

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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.