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Finding the Fourth Proportional to 36,075, 54,134.64 and 15,298.50

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Solution

The fourth proportional to 36,075, 54,134.64 and 15,298.50 is: 22,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,075 : 54,134.64 = 15,298.50 : x
  2. Step 2: Convert to fraction form
    36,075/54,134.64 = 15,298.50/x
  3. Step 3: Cross multiply
    36,075x = 54,134.64 × 15,298.50
  4. Step 4: Simplify right side
    36,075x = 828,178,790.04
  5. Step 5: Solve for x
    x = 828,178,790.04/36,075
  6. Step 6: Final answer
    x = 22,957.14

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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.