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Finding the Fourth Proportional to 74,844, 103,284.84 and 41,310

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Solution

The fourth proportional to 74,844, 103,284.84 and 41,310 is: 57,007.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,844 : 103,284.84 = 41,310 : x
  2. Step 2: Convert to fraction form
    74,844/103,284.84 = 41,310/x
  3. Step 3: Cross multiply
    74,844x = 103,284.84 × 41,310
  4. Step 4: Simplify right side
    74,844x = 4,266,696,740.40
  5. Step 5: Solve for x
    x = 4,266,696,740.40/74,844
  6. Step 6: Final answer
    x = 57,007.87

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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.