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Finding the Fourth Proportional to 47,500.20, 65,554.74 and 28,380

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Solution

The fourth proportional to 47,500.20, 65,554.74 and 28,380 is: 39,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,500.20 : 65,554.74 = 28,380 : x
  2. Step 2: Convert to fraction form
    47,500.20/65,554.74 = 28,380/x
  3. Step 3: Cross multiply
    47,500.20x = 65,554.74 × 28,380
  4. Step 4: Simplify right side
    47,500.20x = 1,860,443,521.20
  5. Step 5: Solve for x
    x = 1,860,443,521.20/47,500.20
  6. Step 6: Final answer
    x = 39,167.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.