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Finding the Fourth Proportional to 74,064.60, 102,209.19 and 40,530.60

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Solution

The fourth proportional to 74,064.60, 102,209.19 and 40,530.60 is: 55,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,064.60 : 102,209.19 = 40,530.60 : x
  2. Step 2: Convert to fraction form
    74,064.60/102,209.19 = 40,530.60/x
  3. Step 3: Cross multiply
    74,064.60x = 102,209.19 × 40,530.60
  4. Step 4: Simplify right side
    74,064.60x = 4,142,599,796.21
  5. Step 5: Solve for x
    x = 4,142,599,796.21/74,064.60
  6. Step 6: Final answer
    x = 55,932.25

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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.