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Finding the Fourth Proportional to 101,130.04, 151,716.66 and 38,800

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Solution

The fourth proportional to 101,130.04, 151,716.66 and 38,800 is: 58,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,130.04 : 151,716.66 = 38,800 : x
  2. Step 2: Convert to fraction form
    101,130.04/151,716.66 = 38,800/x
  3. Step 3: Cross multiply
    101,130.04x = 151,716.66 × 38,800
  4. Step 4: Simplify right side
    101,130.04x = 5,886,606,408
  5. Step 5: Solve for x
    x = 5,886,606,408/101,130.04
  6. Step 6: Final answer
    x = 58,208.29

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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.