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Finding the Fourth Proportional to 86,524.50, 119,403.81 and 46,780.50

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Solution

The fourth proportional to 86,524.50, 119,403.81 and 46,780.50 is: 64,557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,524.50 : 119,403.81 = 46,780.50 : x
  2. Step 2: Convert to fraction form
    86,524.50/119,403.81 = 46,780.50/x
  3. Step 3: Cross multiply
    86,524.50x = 119,403.81 × 46,780.50
  4. Step 4: Simplify right side
    86,524.50x = 5,585,769,933.71
  5. Step 5: Solve for x
    x = 5,585,769,933.71/86,524.50
  6. Step 6: Final answer
    x = 64,557.09

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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.