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Finding the Fourth Proportional to 47,142.63, 65,070.62 and 28,035.84

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Solution

The fourth proportional to 47,142.63, 65,070.62 and 28,035.84 is: 38,697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,142.63 : 65,070.62 = 28,035.84 : x
  2. Step 2: Convert to fraction form
    47,142.63/65,070.62 = 28,035.84/x
  3. Step 3: Cross multiply
    47,142.63x = 65,070.62 × 28,035.84
  4. Step 4: Simplify right side
    47,142.63x = 1,824,309,350.84
  5. Step 5: Solve for x
    x = 1,824,309,350.84/47,142.63
  6. Step 6: Final answer
    x = 38,697.66

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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.