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Finding the Fourth Proportional to 53,503.75, 73,835.03 and 30,842.61

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Solution

The fourth proportional to 53,503.75, 73,835.03 and 30,842.61 is: 42,562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,503.75 : 73,835.03 = 30,842.61 : x
  2. Step 2: Convert to fraction form
    53,503.75/73,835.03 = 30,842.61/x
  3. Step 3: Cross multiply
    53,503.75x = 73,835.03 × 30,842.61
  4. Step 4: Simplify right side
    53,503.75x = 2,277,264,880.42
  5. Step 5: Solve for x
    x = 2,277,264,880.42/53,503.75
  6. Step 6: Final answer
    x = 42,562.72

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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.