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Finding the Fourth Proportional to 82,782.66, 114,264.24 and 54,106.50

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Solution

The fourth proportional to 82,782.66, 114,264.24 and 54,106.50 is: 74,682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,782.66 : 114,264.24 = 54,106.50 : x
  2. Step 2: Convert to fraction form
    82,782.66/114,264.24 = 54,106.50/x
  3. Step 3: Cross multiply
    82,782.66x = 114,264.24 × 54,106.50
  4. Step 4: Simplify right side
    82,782.66x = 6,182,438,101.56
  5. Step 5: Solve for x
    x = 6,182,438,101.56/82,782.66
  6. Step 6: Final answer
    x = 74,682.77

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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.