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Finding the Fourth Proportional to 74,070, 102,218.76 and 40,538.16

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Solution

The fourth proportional to 74,070, 102,218.76 and 40,538.16 is: 55,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,070 : 102,218.76 = 40,538.16 : x
  2. Step 2: Convert to fraction form
    74,070/102,218.76 = 40,538.16/x
  3. Step 3: Cross multiply
    74,070x = 102,218.76 × 40,538.16
  4. Step 4: Simplify right side
    74,070x = 4,143,760,447.88
  5. Step 5: Solve for x
    x = 4,143,760,447.88/74,070
  6. Step 6: Final answer
    x = 55,943.84

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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.