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Finding the Fourth Proportional to 76,217.52, 105,089.49 and 52,874.94

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Solution

The fourth proportional to 76,217.52, 105,089.49 and 52,874.94 is: 72,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,217.52 : 105,089.49 = 52,874.94 : x
  2. Step 2: Convert to fraction form
    76,217.52/105,089.49 = 52,874.94/x
  3. Step 3: Cross multiply
    76,217.52x = 105,089.49 × 52,874.94
  4. Step 4: Simplify right side
    76,217.52x = 5,556,600,478.38
  5. Step 5: Solve for x
    x = 5,556,600,478.38/76,217.52
  6. Step 6: Final answer
    x = 72,904.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.