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Finding the Fourth Proportional to 27,075.84, 40,617 and 9,542.04

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Solution

The fourth proportional to 27,075.84, 40,617 and 9,542.04 is: 14,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,075.84 : 40,617 = 9,542.04 : x
  2. Step 2: Convert to fraction form
    27,075.84/40,617 = 9,542.04/x
  3. Step 3: Cross multiply
    27,075.84x = 40,617 × 9,542.04
  4. Step 4: Simplify right side
    27,075.84x = 387,569,038.68
  5. Step 5: Solve for x
    x = 387,569,038.68/27,075.84
  6. Step 6: Final answer
    x = 14,314.20

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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.