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Finding the Fourth Proportional to 52,509.67, 72,523.85 and 38,233.34

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Solution

The fourth proportional to 52,509.67, 72,523.85 and 38,233.34 is: 52,806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,509.67 : 72,523.85 = 38,233.34 : x
  2. Step 2: Convert to fraction form
    52,509.67/72,523.85 = 38,233.34/x
  3. Step 3: Cross multiply
    52,509.67x = 72,523.85 × 38,233.34
  4. Step 4: Simplify right side
    52,509.67x = 2,772,829,015.16
  5. Step 5: Solve for x
    x = 2,772,829,015.16/52,509.67
  6. Step 6: Final answer
    x = 52,806.06

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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.