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Finding the Fourth Proportional to 51,591.84, 77,288.88 and 34,923.12

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Solution

The fourth proportional to 51,591.84, 77,288.88 and 34,923.12 is: 52,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,591.84 : 77,288.88 = 34,923.12 : x
  2. Step 2: Convert to fraction form
    51,591.84/77,288.88 = 34,923.12/x
  3. Step 3: Cross multiply
    51,591.84x = 77,288.88 × 34,923.12
  4. Step 4: Simplify right side
    51,591.84x = 2,699,168,830.91
  5. Step 5: Solve for x
    x = 2,699,168,830.91/51,591.84
  6. Step 6: Final answer
    x = 52,317.75

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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.