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Finding the Fourth Proportional to 47,309.65, 65,284.33 and 27,152.34

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Solution

The fourth proportional to 47,309.65, 65,284.33 and 27,152.34 is: 37,468.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,309.65 : 65,284.33 = 27,152.34 : x
  2. Step 2: Convert to fraction form
    47,309.65/65,284.33 = 27,152.34/x
  3. Step 3: Cross multiply
    47,309.65x = 65,284.33 × 27,152.34
  4. Step 4: Simplify right side
    47,309.65x = 1,772,622,358.77
  5. Step 5: Solve for x
    x = 1,772,622,358.77/47,309.65
  6. Step 6: Final answer
    x = 37,468.52

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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.