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Finding the Fourth Proportional to 38,380.53, 52,961.54 and 28,314.57

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Solution

The fourth proportional to 38,380.53, 52,961.54 and 28,314.57 is: 39,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,380.53 : 52,961.54 = 28,314.57 : x
  2. Step 2: Convert to fraction form
    38,380.53/52,961.54 = 28,314.57/x
  3. Step 3: Cross multiply
    38,380.53x = 52,961.54 × 28,314.57
  4. Step 4: Simplify right side
    38,380.53x = 1,499,583,090.06
  5. Step 5: Solve for x
    x = 1,499,583,090.06/38,380.53
  6. Step 6: Final answer
    x = 39,071.45

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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.