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Finding the Fourth Proportional to 89,535.80, 123,549.72 and 51,803

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Solution

The fourth proportional to 89,535.80, 123,549.72 and 51,803 is: 71,482.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,535.80 : 123,549.72 = 51,803 : x
  2. Step 2: Convert to fraction form
    89,535.80/123,549.72 = 51,803/x
  3. Step 3: Cross multiply
    89,535.80x = 123,549.72 × 51,803
  4. Step 4: Simplify right side
    89,535.80x = 6,400,246,145.16
  5. Step 5: Solve for x
    x = 6,400,246,145.16/89,535.80
  6. Step 6: Final answer
    x = 71,482.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.