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Finding the Fourth Proportional to 77,561.91, 116,343.36 and 42,482.43

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Solution

The fourth proportional to 77,561.91, 116,343.36 and 42,482.43 is: 63,723.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,561.91 : 116,343.36 = 42,482.43 : x
  2. Step 2: Convert to fraction form
    77,561.91/116,343.36 = 42,482.43/x
  3. Step 3: Cross multiply
    77,561.91x = 116,343.36 × 42,482.43
  4. Step 4: Simplify right side
    77,561.91x = 4,942,548,647.16
  5. Step 5: Solve for x
    x = 4,942,548,647.16/77,561.91
  6. Step 6: Final answer
    x = 63,723.92

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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.