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Finding the Fourth Proportional to 74,055.84, 102,196.89 and 40,521.84

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Solution

The fourth proportional to 74,055.84, 102,196.89 and 40,521.84 is: 55,920.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,055.84 : 102,196.89 = 40,521.84 : x
  2. Step 2: Convert to fraction form
    74,055.84/102,196.89 = 40,521.84/x
  3. Step 3: Cross multiply
    74,055.84x = 102,196.89 × 40,521.84
  4. Step 4: Simplify right side
    74,055.84x = 4,141,206,025.08
  5. Step 5: Solve for x
    x = 4,141,206,025.08/74,055.84
  6. Step 6: Final answer
    x = 55,920.05

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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.