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Finding the Fourth Proportional to 101,602.69, 152,398.16 and 30,523.79

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Solution

The fourth proportional to 101,602.69, 152,398.16 and 30,523.79 is: 45,783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,602.69 : 152,398.16 = 30,523.79 : x
  2. Step 2: Convert to fraction form
    101,602.69/152,398.16 = 30,523.79/x
  3. Step 3: Cross multiply
    101,602.69x = 152,398.16 × 30,523.79
  4. Step 4: Simplify right side
    101,602.69x = 4,651,768,917.83
  5. Step 5: Solve for x
    x = 4,651,768,917.83/101,602.69
  6. Step 6: Final answer
    x = 45,783.92

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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.