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Finding the Fourth Proportional to 33,075.60, 49,618.86 and 15,324

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Solution

The fourth proportional to 33,075.60, 49,618.86 and 15,324 is: 22,988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,075.60 : 49,618.86 = 15,324 : x
  2. Step 2: Convert to fraction form
    33,075.60/49,618.86 = 15,324/x
  3. Step 3: Cross multiply
    33,075.60x = 49,618.86 × 15,324
  4. Step 4: Simplify right side
    33,075.60x = 760,359,410.64
  5. Step 5: Solve for x
    x = 760,359,410.64/33,075.60
  6. Step 6: Final answer
    x = 22,988.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.