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Finding the Fourth Proportional to 74,054, 102,196.68 and 40,522.16

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Solution

The fourth proportional to 74,054, 102,196.68 and 40,522.16 is: 55,921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,054 : 102,196.68 = 40,522.16 : x
  2. Step 2: Convert to fraction form
    74,054/102,196.68 = 40,522.16/x
  3. Step 3: Cross multiply
    74,054x = 102,196.68 × 40,522.16
  4. Step 4: Simplify right side
    74,054x = 4,141,230,218.43
  5. Step 5: Solve for x
    x = 4,141,230,218.43/74,054
  6. Step 6: Final answer
    x = 55,921.76

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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.