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Finding the Fourth Proportional to 27,585.49, 38,075.79 and 16,261.57

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Solution

The fourth proportional to 27,585.49, 38,075.79 and 16,261.57 is: 22,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,585.49 : 38,075.79 = 16,261.57 : x
  2. Step 2: Convert to fraction form
    27,585.49/38,075.79 = 16,261.57/x
  3. Step 3: Cross multiply
    27,585.49x = 38,075.79 × 16,261.57
  4. Step 4: Simplify right side
    27,585.49x = 619,172,124.39
  5. Step 5: Solve for x
    x = 619,172,124.39/27,585.49
  6. Step 6: Final answer
    x = 22,445.57

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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.