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Finding the Fourth Proportional to 124,021, 186,031.50 and 36,469

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Solution

The fourth proportional to 124,021, 186,031.50 and 36,469 is: 54,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,021 : 186,031.50 = 36,469 : x
  2. Step 2: Convert to fraction form
    124,021/186,031.50 = 36,469/x
  3. Step 3: Cross multiply
    124,021x = 186,031.50 × 36,469
  4. Step 4: Simplify right side
    124,021x = 6,784,382,773.50
  5. Step 5: Solve for x
    x = 6,784,382,773.50/124,021
  6. Step 6: Final answer
    x = 54,703.50

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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.