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Finding the Fourth Proportional to 74,776.77, 103,191.60 and 40,784.64

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Solution

The fourth proportional to 74,776.77, 103,191.60 and 40,784.64 is: 56,282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,776.77 : 103,191.60 = 40,784.64 : x
  2. Step 2: Convert to fraction form
    74,776.77/103,191.60 = 40,784.64/x
  3. Step 3: Cross multiply
    74,776.77x = 103,191.60 × 40,784.64
  4. Step 4: Simplify right side
    74,776.77x = 4,208,632,257.02
  5. Step 5: Solve for x
    x = 4,208,632,257.02/74,776.77
  6. Step 6: Final answer
    x = 56,282.62

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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.