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Finding the Fourth Proportional to 101,120.36, 151,700.05 and 38,786

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Solution

The fourth proportional to 101,120.36, 151,700.05 and 38,786 is: 58,186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,120.36 : 151,700.05 = 38,786 : x
  2. Step 2: Convert to fraction form
    101,120.36/151,700.05 = 38,786/x
  3. Step 3: Cross multiply
    101,120.36x = 151,700.05 × 38,786
  4. Step 4: Simplify right side
    101,120.36x = 5,883,838,139.30
  5. Step 5: Solve for x
    x = 5,883,838,139.30/101,120.36
  6. Step 6: Final answer
    x = 58,186.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.