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Finding the Fourth Proportional to 47,602.58, 65,684.13 and 27,460.22

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Solution

The fourth proportional to 47,602.58, 65,684.13 and 27,460.22 is: 37,890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,602.58 : 65,684.13 = 27,460.22 : x
  2. Step 2: Convert to fraction form
    47,602.58/65,684.13 = 27,460.22/x
  3. Step 3: Cross multiply
    47,602.58x = 65,684.13 × 27,460.22
  4. Step 4: Simplify right side
    47,602.58x = 1,803,700,660.31
  5. Step 5: Solve for x
    x = 1,803,700,660.31/47,602.58
  6. Step 6: Final answer
    x = 37,890.82

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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.