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Finding the Fourth Proportional to 82,510.00, 113,854.34 and 46,206.38

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Solution

The fourth proportional to 82,510.00, 113,854.34 and 46,206.38 is: 63,759.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,510.00 : 113,854.34 = 46,206.38 : x
  2. Step 2: Convert to fraction form
    82,510.00/113,854.34 = 46,206.38/x
  3. Step 3: Cross multiply
    82,510.00x = 113,854.34 × 46,206.38
  4. Step 4: Simplify right side
    82,510.00x = 5,260,796,667.66
  5. Step 5: Solve for x
    x = 5,260,796,667.66/82,510.00
  6. Step 6: Final answer
    x = 63,759.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.