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Finding the Fourth Proportional to 101,064.48, 151,570.77 and 29,970.42

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Solution

The fourth proportional to 101,064.48, 151,570.77 and 29,970.42 is: 44,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,064.48 : 151,570.77 = 29,970.42 : x
  2. Step 2: Convert to fraction form
    101,064.48/151,570.77 = 29,970.42/x
  3. Step 3: Cross multiply
    101,064.48x = 151,570.77 × 29,970.42
  4. Step 4: Simplify right side
    101,064.48x = 4,542,639,636.62
  5. Step 5: Solve for x
    x = 4,542,639,636.62/101,064.48
  6. Step 6: Final answer
    x = 44,947.93

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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.