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Finding the Fourth Proportional to 51,386.96, 77,080.04 and 26,434

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Solution

The fourth proportional to 51,386.96, 77,080.04 and 26,434 is: 39,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,386.96 : 77,080.04 = 26,434 : x
  2. Step 2: Convert to fraction form
    51,386.96/77,080.04 = 26,434/x
  3. Step 3: Cross multiply
    51,386.96x = 77,080.04 × 26,434
  4. Step 4: Simplify right side
    51,386.96x = 2,037,533,777.36
  5. Step 5: Solve for x
    x = 2,037,533,777.36/51,386.96
  6. Step 6: Final answer
    x = 39,650.79

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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.