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Finding the Fourth Proportional to 54,050, 81,075.36 and 17,114

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Solution

The fourth proportional to 54,050, 81,075.36 and 17,114 is: 25,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,050 : 81,075.36 = 17,114 : x
  2. Step 2: Convert to fraction form
    54,050/81,075.36 = 17,114/x
  3. Step 3: Cross multiply
    54,050x = 81,075.36 × 17,114
  4. Step 4: Simplify right side
    54,050x = 1,387,523,711.04
  5. Step 5: Solve for x
    x = 1,387,523,711.04/54,050
  6. Step 6: Final answer
    x = 25,671.11

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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.