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Finding the Fourth Proportional to 101,083.91, 151,655.02 and 30,973.55

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Solution

The fourth proportional to 101,083.91, 151,655.02 and 30,973.55 is: 46,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,083.91 : 151,655.02 = 30,973.55 : x
  2. Step 2: Convert to fraction form
    101,083.91/151,655.02 = 30,973.55/x
  3. Step 3: Cross multiply
    101,083.91x = 151,655.02 × 30,973.55
  4. Step 4: Simplify right side
    101,083.91x = 4,697,293,509.01
  5. Step 5: Solve for x
    x = 4,697,293,509.01/101,083.91
  6. Step 6: Final answer
    x = 46,469.25

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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.