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Finding the Fourth Proportional to 133,714.84, 200,570.73 and 32,513.47

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Solution

The fourth proportional to 133,714.84, 200,570.73 and 32,513.47 is: 48,769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,714.84 : 200,570.73 = 32,513.47 : x
  2. Step 2: Convert to fraction form
    133,714.84/200,570.73 = 32,513.47/x
  3. Step 3: Cross multiply
    133,714.84x = 200,570.73 × 32,513.47
  4. Step 4: Simplify right side
    133,714.84x = 6,521,249,972.27
  5. Step 5: Solve for x
    x = 6,521,249,972.27/133,714.84
  6. Step 6: Final answer
    x = 48,769.83

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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.