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Finding the Fourth Proportional to 74,391, 102,661.20 and 40,857

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Solution

The fourth proportional to 74,391, 102,661.20 and 40,857 is: 56,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,391 : 102,661.20 = 40,857 : x
  2. Step 2: Convert to fraction form
    74,391/102,661.20 = 40,857/x
  3. Step 3: Cross multiply
    74,391x = 102,661.20 × 40,857
  4. Step 4: Simplify right side
    74,391x = 4,194,428,648.40
  5. Step 5: Solve for x
    x = 4,194,428,648.40/74,391
  6. Step 6: Final answer
    x = 56,383.55

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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.