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Finding the Fourth Proportional to 77,678.78, 116,518.19 and 24,378.99

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Solution

The fourth proportional to 77,678.78, 116,518.19 and 24,378.99 is: 36,568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,678.78 : 116,518.19 = 24,378.99 : x
  2. Step 2: Convert to fraction form
    77,678.78/116,518.19 = 24,378.99/x
  3. Step 3: Cross multiply
    77,678.78x = 116,518.19 × 24,378.99
  4. Step 4: Simplify right side
    77,678.78x = 2,840,595,666.93
  5. Step 5: Solve for x
    x = 2,840,595,666.93/77,678.78
  6. Step 6: Final answer
    x = 36,568.49

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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.