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Finding the Fourth Proportional to 106,492.43, 159,678.70 and 35,377

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Solution

The fourth proportional to 106,492.43, 159,678.70 and 35,377 is: 53,045.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,492.43 : 159,678.70 = 35,377 : x
  2. Step 2: Convert to fraction form
    106,492.43/159,678.70 = 35,377/x
  3. Step 3: Cross multiply
    106,492.43x = 159,678.70 × 35,377
  4. Step 4: Simplify right side
    106,492.43x = 5,648,953,369.90
  5. Step 5: Solve for x
    x = 5,648,953,369.90/106,492.43
  6. Step 6: Final answer
    x = 53,045.59

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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.