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Finding the Fourth Proportional to 77,098.56, 115,652.64 and 26,500.56

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Solution

The fourth proportional to 77,098.56, 115,652.64 and 26,500.56 is: 39,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,098.56 : 115,652.64 = 26,500.56 : x
  2. Step 2: Convert to fraction form
    77,098.56/115,652.64 = 26,500.56/x
  3. Step 3: Cross multiply
    77,098.56x = 115,652.64 × 26,500.56
  4. Step 4: Simplify right side
    77,098.56x = 3,064,859,725.48
  5. Step 5: Solve for x
    x = 3,064,859,725.48/77,098.56
  6. Step 6: Final answer
    x = 39,752.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.