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Finding the Fourth Proportional to 133,032.39, 199,581.39 and 39,538.14

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Solution

The fourth proportional to 133,032.39, 199,581.39 and 39,538.14 is: 59,316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,032.39 : 199,581.39 = 39,538.14 : x
  2. Step 2: Convert to fraction form
    133,032.39/199,581.39 = 39,538.14/x
  3. Step 3: Cross multiply
    133,032.39x = 199,581.39 × 39,538.14
  4. Step 4: Simplify right side
    133,032.39x = 7,891,076,939.21
  5. Step 5: Solve for x
    x = 7,891,076,939.21/133,032.39
  6. Step 6: Final answer
    x = 59,316.96

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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.