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Finding the Fourth Proportional to 47,980.96, 66,192.31 and 27,826.16

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Solution

The fourth proportional to 47,980.96, 66,192.31 and 27,826.16 is: 38,387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,980.96 : 66,192.31 = 27,826.16 : x
  2. Step 2: Convert to fraction form
    47,980.96/66,192.31 = 27,826.16/x
  3. Step 3: Cross multiply
    47,980.96x = 66,192.31 × 27,826.16
  4. Step 4: Simplify right side
    47,980.96x = 1,841,877,808.83
  5. Step 5: Solve for x
    x = 1,841,877,808.83/47,980.96
  6. Step 6: Final answer
    x = 38,387.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.