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Finding the Fourth Proportional to 74,853, 103,297.14 and 41,319

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Solution

The fourth proportional to 74,853, 103,297.14 and 41,319 is: 57,020.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,853 : 103,297.14 = 41,319 : x
  2. Step 2: Convert to fraction form
    74,853/103,297.14 = 41,319/x
  3. Step 3: Cross multiply
    74,853x = 103,297.14 × 41,319
  4. Step 4: Simplify right side
    74,853x = 4,268,134,527.66
  5. Step 5: Solve for x
    x = 4,268,134,527.66/74,853
  6. Step 6: Final answer
    x = 57,020.22

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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.