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Finding the Fourth Proportional to 83,410.66, 115,114.98 and 47,606.09

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Solution

The fourth proportional to 83,410.66, 115,114.98 and 47,606.09 is: 65,701.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,410.66 : 115,114.98 = 47,606.09 : x
  2. Step 2: Convert to fraction form
    83,410.66/115,114.98 = 47,606.09/x
  3. Step 3: Cross multiply
    83,410.66x = 115,114.98 × 47,606.09
  4. Step 4: Simplify right side
    83,410.66x = 5,480,174,098.23
  5. Step 5: Solve for x
    x = 5,480,174,098.23/83,410.66
  6. Step 6: Final answer
    x = 65,701.12

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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.