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Finding the Fourth Proportional to 47,595.96, 65,689.34 and 27,448.83

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Solution

The fourth proportional to 47,595.96, 65,689.34 and 27,448.83 is: 37,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,595.96 : 65,689.34 = 27,448.83 : x
  2. Step 2: Convert to fraction form
    47,595.96/65,689.34 = 27,448.83/x
  3. Step 3: Cross multiply
    47,595.96x = 65,689.34 × 27,448.83
  4. Step 4: Simplify right side
    47,595.96x = 1,803,095,389.23
  5. Step 5: Solve for x
    x = 1,803,095,389.23/47,595.96
  6. Step 6: Final answer
    x = 37,883.37

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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.