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Finding the Fourth Proportional to 82,898.95, 114,452.81 and 58,751.13

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Solution

The fourth proportional to 82,898.95, 114,452.81 and 58,751.13 is: 81,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,898.95 : 114,452.81 = 58,751.13 : x
  2. Step 2: Convert to fraction form
    82,898.95/114,452.81 = 58,751.13/x
  3. Step 3: Cross multiply
    82,898.95x = 114,452.81 × 58,751.13
  4. Step 4: Simplify right side
    82,898.95x = 6,724,231,919.18
  5. Step 5: Solve for x
    x = 6,724,231,919.18/82,898.95
  6. Step 6: Final answer
    x = 81,113.60

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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.