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Finding the Fourth Proportional to 77,185.50, 115,778.25 and 18,817.50

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Solution

The fourth proportional to 77,185.50, 115,778.25 and 18,817.50 is: 28,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,185.50 : 115,778.25 = 18,817.50 : x
  2. Step 2: Convert to fraction form
    77,185.50/115,778.25 = 18,817.50/x
  3. Step 3: Cross multiply
    77,185.50x = 115,778.25 × 18,817.50
  4. Step 4: Simplify right side
    77,185.50x = 2,178,657,219.38
  5. Step 5: Solve for x
    x = 2,178,657,219.38/77,185.50
  6. Step 6: Final answer
    x = 28,226.25

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1.5x scale

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.