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Finding the Fourth Proportional to 74,314.84, 102,589.74 and 47,104.50

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Solution

The fourth proportional to 74,314.84, 102,589.74 and 47,104.50 is: 65,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,314.84 : 102,589.74 = 47,104.50 : x
  2. Step 2: Convert to fraction form
    74,314.84/102,589.74 = 47,104.50/x
  3. Step 3: Cross multiply
    74,314.84x = 102,589.74 × 47,104.50
  4. Step 4: Simplify right side
    74,314.84x = 4,832,438,407.83
  5. Step 5: Solve for x
    x = 4,832,438,407.83/74,314.84
  6. Step 6: Final answer
    x = 65,026.56

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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.