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Finding the Fourth Proportional to 77,798.95, 116,704.56 and 38,334.55

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Solution

The fourth proportional to 77,798.95, 116,704.56 and 38,334.55 is: 57,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,798.95 : 116,704.56 = 38,334.55 : x
  2. Step 2: Convert to fraction form
    77,798.95/116,704.56 = 38,334.55/x
  3. Step 3: Cross multiply
    77,798.95x = 116,704.56 × 38,334.55
  4. Step 4: Simplify right side
    77,798.95x = 4,473,816,790.55
  5. Step 5: Solve for x
    x = 4,473,816,790.55/77,798.95
  6. Step 6: Final answer
    x = 57,504.85

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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.