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Finding the Fourth Proportional to 110,352, 165,553.92 and 36,480

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Solution

The fourth proportional to 110,352, 165,553.92 and 36,480 is: 54,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,352 : 165,553.92 = 36,480 : x
  2. Step 2: Convert to fraction form
    110,352/165,553.92 = 36,480/x
  3. Step 3: Cross multiply
    110,352x = 165,553.92 × 36,480
  4. Step 4: Simplify right side
    110,352x = 6,039,407,001.60
  5. Step 5: Solve for x
    x = 6,039,407,001.60/110,352
  6. Step 6: Final answer
    x = 54,728.57

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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.