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Finding the Fourth Proportional to 101,176, 151,763.76 and 34,616.80

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Solution

The fourth proportional to 101,176, 151,763.76 and 34,616.80 is: 51,925.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,176 : 151,763.76 = 34,616.80 : x
  2. Step 2: Convert to fraction form
    101,176/151,763.76 = 34,616.80/x
  3. Step 3: Cross multiply
    101,176x = 151,763.76 × 34,616.80
  4. Step 4: Simplify right side
    101,176x = 5,253,575,727.17
  5. Step 5: Solve for x
    x = 5,253,575,727.17/101,176
  6. Step 6: Final answer
    x = 51,925.12

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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.