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Finding the Fourth Proportional to 77,066.42, 115,599.71 and 50,434.90

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Solution

The fourth proportional to 77,066.42, 115,599.71 and 50,434.90 is: 75,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,066.42 : 115,599.71 = 50,434.90 : x
  2. Step 2: Convert to fraction form
    77,066.42/115,599.71 = 50,434.90/x
  3. Step 3: Cross multiply
    77,066.42x = 115,599.71 × 50,434.90
  4. Step 4: Simplify right side
    77,066.42x = 5,830,259,813.88
  5. Step 5: Solve for x
    x = 5,830,259,813.88/77,066.42
  6. Step 6: Final answer
    x = 75,652.40

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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.