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Finding the Fourth Proportional to 103,221, 154,857.50 and 29,349

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Solution

The fourth proportional to 103,221, 154,857.50 and 29,349 is: 44,030.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,221 : 154,857.50 = 29,349 : x
  2. Step 2: Convert to fraction form
    103,221/154,857.50 = 29,349/x
  3. Step 3: Cross multiply
    103,221x = 154,857.50 × 29,349
  4. Step 4: Simplify right side
    103,221x = 4,544,912,767.50
  5. Step 5: Solve for x
    x = 4,544,912,767.50/103,221
  6. Step 6: Final answer
    x = 44,030.89

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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.