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Finding the Fourth Proportional to 25,661.52, 38,494.71 and 10,075.50

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Solution

The fourth proportional to 25,661.52, 38,494.71 and 10,075.50 is: 15,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,661.52 : 38,494.71 = 10,075.50 : x
  2. Step 2: Convert to fraction form
    25,661.52/38,494.71 = 10,075.50/x
  3. Step 3: Cross multiply
    25,661.52x = 38,494.71 × 10,075.50
  4. Step 4: Simplify right side
    25,661.52x = 387,853,450.61
  5. Step 5: Solve for x
    x = 387,853,450.61/25,661.52
  6. Step 6: Final answer
    x = 15,114.20

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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.