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Finding the Fourth Proportional to 101,933.16, 152,825.80 and 51,363.28

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Solution

The fourth proportional to 101,933.16, 152,825.80 and 51,363.28 is: 77,007.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,933.16 : 152,825.80 = 51,363.28 : x
  2. Step 2: Convert to fraction form
    101,933.16/152,825.80 = 51,363.28/x
  3. Step 3: Cross multiply
    101,933.16x = 152,825.80 × 51,363.28
  4. Step 4: Simplify right side
    101,933.16x = 7,849,634,356.62
  5. Step 5: Solve for x
    x = 7,849,634,356.62/101,933.16
  6. Step 6: Final answer
    x = 77,007.66

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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.