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Finding the Fourth Proportional to 27,525.48, 37,972.98 and 16,341

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Solution

The fourth proportional to 27,525.48, 37,972.98 and 16,341 is: 22,543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,525.48 : 37,972.98 = 16,341 : x
  2. Step 2: Convert to fraction form
    27,525.48/37,972.98 = 16,341/x
  3. Step 3: Cross multiply
    27,525.48x = 37,972.98 × 16,341
  4. Step 4: Simplify right side
    27,525.48x = 620,516,466.18
  5. Step 5: Solve for x
    x = 620,516,466.18/27,525.48
  6. Step 6: Final answer
    x = 22,543.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.