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Finding the Fourth Proportional to 47,200.71, 65,137.20 and 27,058.77

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Solution

The fourth proportional to 47,200.71, 65,137.20 and 27,058.77 is: 37,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,200.71 : 65,137.20 = 27,058.77 : x
  2. Step 2: Convert to fraction form
    47,200.71/65,137.20 = 27,058.77/x
  3. Step 3: Cross multiply
    47,200.71x = 65,137.20 × 27,058.77
  4. Step 4: Simplify right side
    47,200.71x = 1,762,532,513.24
  5. Step 5: Solve for x
    x = 1,762,532,513.24/47,200.71
  6. Step 6: Final answer
    x = 37,341.23

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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.