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Finding the Fourth Proportional to 70,582.59, 105,780.43 and 51,774.56

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Solution

The fourth proportional to 70,582.59, 105,780.43 and 51,774.56 is: 77,593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,582.59 : 105,780.43 = 51,774.56 : x
  2. Step 2: Convert to fraction form
    70,582.59/105,780.43 = 51,774.56/x
  3. Step 3: Cross multiply
    70,582.59x = 105,780.43 × 51,774.56
  4. Step 4: Simplify right side
    70,582.59x = 5,476,735,219.86
  5. Step 5: Solve for x
    x = 5,476,735,219.86/70,582.59
  6. Step 6: Final answer
    x = 77,593.29

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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.