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Finding the Fourth Proportional to 102,522.15, 153,781.92 and 35,053.50

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Solution

The fourth proportional to 102,522.15, 153,781.92 and 35,053.50 is: 52,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,522.15 : 153,781.92 = 35,053.50 : x
  2. Step 2: Convert to fraction form
    102,522.15/153,781.92 = 35,053.50/x
  3. Step 3: Cross multiply
    102,522.15x = 153,781.92 × 35,053.50
  4. Step 4: Simplify right side
    102,522.15x = 5,390,595,109.40
  5. Step 5: Solve for x
    x = 5,390,595,109.40/102,522.15
  6. Step 6: Final answer
    x = 52,579.81

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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.