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Finding the Fourth Proportional to 102,187.52, 153,281 and 32,072.08

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Solution

The fourth proportional to 102,187.52, 153,281 and 32,072.08 is: 48,108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,187.52 : 153,281 = 32,072.08 : x
  2. Step 2: Convert to fraction form
    102,187.52/153,281 = 32,072.08/x
  3. Step 3: Cross multiply
    102,187.52x = 153,281 × 32,072.08
  4. Step 4: Simplify right side
    102,187.52x = 4,916,040,494.48
  5. Step 5: Solve for x
    x = 4,916,040,494.48/102,187.52
  6. Step 6: Final answer
    x = 48,108.03

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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.