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Finding the Fourth Proportional to 52,703.84, 78,680.08 and 50,858.12

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Solution

The fourth proportional to 52,703.84, 78,680.08 and 50,858.12 is: 75,924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,703.84 : 78,680.08 = 50,858.12 : x
  2. Step 2: Convert to fraction form
    52,703.84/78,680.08 = 50,858.12/x
  3. Step 3: Cross multiply
    52,703.84x = 78,680.08 × 50,858.12
  4. Step 4: Simplify right side
    52,703.84x = 4,001,520,950.25
  5. Step 5: Solve for x
    x = 4,001,520,950.25/52,703.84
  6. Step 6: Final answer
    x = 75,924.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.