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Finding the Fourth Proportional to 101,809.92, 152,559.01 and 42,613.36

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Solution

The fourth proportional to 101,809.92, 152,559.01 and 42,613.36 is: 63,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,809.92 : 152,559.01 = 42,613.36 : x
  2. Step 2: Convert to fraction form
    101,809.92/152,559.01 = 42,613.36/x
  3. Step 3: Cross multiply
    101,809.92x = 152,559.01 × 42,613.36
  4. Step 4: Simplify right side
    101,809.92x = 6,501,052,014.37
  5. Step 5: Solve for x
    x = 6,501,052,014.37/101,809.92
  6. Step 6: Final answer
    x = 63,854.80

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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.