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Finding the Fourth Proportional to 52,566.84, 78,771.96 and 51,262.74

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Solution

The fourth proportional to 52,566.84, 78,771.96 and 51,262.74 is: 76,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,566.84 : 78,771.96 = 51,262.74 : x
  2. Step 2: Convert to fraction form
    52,566.84/78,771.96 = 51,262.74/x
  3. Step 3: Cross multiply
    52,566.84x = 78,771.96 × 51,262.74
  4. Step 4: Simplify right side
    52,566.84x = 4,038,066,504.77
  5. Step 5: Solve for x
    x = 4,038,066,504.77/52,566.84
  6. Step 6: Final answer
    x = 76,817.75

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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.