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Finding the Fourth Proportional to 47,645.63, 65,740.37 and 27,498.24

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Solution

The fourth proportional to 47,645.63, 65,740.37 and 27,498.24 is: 37,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,645.63 : 65,740.37 = 27,498.24 : x
  2. Step 2: Convert to fraction form
    47,645.63/65,740.37 = 27,498.24/x
  3. Step 3: Cross multiply
    47,645.63x = 65,740.37 × 27,498.24
  4. Step 4: Simplify right side
    47,645.63x = 1,807,744,334.46
  5. Step 5: Solve for x
    x = 1,807,744,334.46/47,645.63
  6. Step 6: Final answer
    x = 37,941.45

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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.