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Finding the Fourth Proportional to 82,616.96, 114,011.78 and 46,813.95

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Solution

The fourth proportional to 82,616.96, 114,011.78 and 46,813.95 is: 64,603.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,616.96 : 114,011.78 = 46,813.95 : x
  2. Step 2: Convert to fraction form
    82,616.96/114,011.78 = 46,813.95/x
  3. Step 3: Cross multiply
    82,616.96x = 114,011.78 × 46,813.95
  4. Step 4: Simplify right side
    82,616.96x = 5,337,340,964.20
  5. Step 5: Solve for x
    x = 5,337,340,964.20/82,616.96
  6. Step 6: Final answer
    x = 64,603.46

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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.