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Finding the Fourth Proportional to 73,841.86, 110,762.78 and 40,772.19

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Solution

The fourth proportional to 73,841.86, 110,762.78 and 40,772.19 is: 61,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,841.86 : 110,762.78 = 40,772.19 : x
  2. Step 2: Convert to fraction form
    73,841.86/110,762.78 = 40,772.19/x
  3. Step 3: Cross multiply
    73,841.86x = 110,762.78 × 40,772.19
  4. Step 4: Simplify right side
    73,841.86x = 4,516,041,111.09
  5. Step 5: Solve for x
    x = 4,516,041,111.09/73,841.86
  6. Step 6: Final answer
    x = 61,158.28

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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.