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Finding the Fourth Proportional to 45,164.65, 67,778.07 and 15,582.51

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Solution

The fourth proportional to 45,164.65, 67,778.07 and 15,582.51 is: 23,384.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,164.65 : 67,778.07 = 15,582.51 : x
  2. Step 2: Convert to fraction form
    45,164.65/67,778.07 = 15,582.51/x
  3. Step 3: Cross multiply
    45,164.65x = 67,778.07 × 15,582.51
  4. Step 4: Simplify right side
    45,164.65x = 1,056,152,453.56
  5. Step 5: Solve for x
    x = 1,056,152,453.56/45,164.65
  6. Step 6: Final answer
    x = 23,384.49

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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.