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Finding the Fourth Proportional to 101,642.94, 152,412.33 and 42,462.54

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Solution

The fourth proportional to 101,642.94, 152,412.33 and 42,462.54 is: 63,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,642.94 : 152,412.33 = 42,462.54 : x
  2. Step 2: Convert to fraction form
    101,642.94/152,412.33 = 42,462.54/x
  3. Step 3: Cross multiply
    101,642.94x = 152,412.33 × 42,462.54
  4. Step 4: Simplify right side
    101,642.94x = 6,471,814,659.12
  5. Step 5: Solve for x
    x = 6,471,814,659.12/101,642.94
  6. Step 6: Final answer
    x = 63,672.05

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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.