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Finding the Fourth Proportional to 102,575.84, 153,932.47 and 36,016.18

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Solution

The fourth proportional to 102,575.84, 153,932.47 and 36,016.18 is: 54,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,575.84 : 153,932.47 = 36,016.18 : x
  2. Step 2: Convert to fraction form
    102,575.84/153,932.47 = 36,016.18/x
  3. Step 3: Cross multiply
    102,575.84x = 153,932.47 × 36,016.18
  4. Step 4: Simplify right side
    102,575.84x = 5,544,059,072.49
  5. Step 5: Solve for x
    x = 5,544,059,072.49/102,575.84
  6. Step 6: Final answer
    x = 54,048.39

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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.