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Finding the Fourth Proportional to 47,142.13, 65,069.93 and 28,035.34

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Solution

The fourth proportional to 47,142.13, 65,069.93 and 28,035.34 is: 38,696.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,142.13 : 65,069.93 = 28,035.34 : x
  2. Step 2: Convert to fraction form
    47,142.13/65,069.93 = 28,035.34/x
  3. Step 3: Cross multiply
    47,142.13x = 65,069.93 × 28,035.34
  4. Step 4: Simplify right side
    47,142.13x = 1,824,257,308.47
  5. Step 5: Solve for x
    x = 1,824,257,308.47/47,142.13
  6. Step 6: Final answer
    x = 38,696.97

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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.