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Finding the Fourth Proportional to 82,510.20, 113,865.89 and 46,700.24

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Solution

The fourth proportional to 82,510.20, 113,865.89 and 46,700.24 is: 64,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,510.20 : 113,865.89 = 46,700.24 : x
  2. Step 2: Convert to fraction form
    82,510.20/113,865.89 = 46,700.24/x
  3. Step 3: Cross multiply
    82,510.20x = 113,865.89 × 46,700.24
  4. Step 4: Simplify right side
    82,510.20x = 5,317,563,587.98
  5. Step 5: Solve for x
    x = 5,317,563,587.98/82,510.20
  6. Step 6: Final answer
    x = 64,447.35

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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.