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Finding the Fourth Proportional to 47,751.90, 71,603.26 and 21,434.10

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Solution

The fourth proportional to 47,751.90, 71,603.26 and 21,434.10 is: 32,140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751.90 : 71,603.26 = 21,434.10 : x
  2. Step 2: Convert to fraction form
    47,751.90/71,603.26 = 21,434.10/x
  3. Step 3: Cross multiply
    47,751.90x = 71,603.26 × 21,434.10
  4. Step 4: Simplify right side
    47,751.90x = 1,534,751,435.17
  5. Step 5: Solve for x
    x = 1,534,751,435.17/47,751.90
  6. Step 6: Final answer
    x = 32,140.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.