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Finding the Fourth Proportional to 73,980.50, 102,095.61 and 40,448.66

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Solution

The fourth proportional to 73,980.50, 102,095.61 and 40,448.66 is: 55,820.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,980.50 : 102,095.61 = 40,448.66 : x
  2. Step 2: Convert to fraction form
    73,980.50/102,095.61 = 40,448.66/x
  3. Step 3: Cross multiply
    73,980.50x = 102,095.61 × 40,448.66
  4. Step 4: Simplify right side
    73,980.50x = 4,129,630,616.38
  5. Step 5: Solve for x
    x = 4,129,630,616.38/73,980.50
  6. Step 6: Final answer
    x = 55,820.53

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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.