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Finding the Fourth Proportional to 82,618.60, 114,013.79 and 46,811.04

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Solution

The fourth proportional to 82,618.60, 114,013.79 and 46,811.04 is: 64,599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,618.60 : 114,013.79 = 46,811.04 : x
  2. Step 2: Convert to fraction form
    82,618.60/114,013.79 = 46,811.04/x
  3. Step 3: Cross multiply
    82,618.60x = 114,013.79 × 46,811.04
  4. Step 4: Simplify right side
    82,618.60x = 5,337,103,280.12
  5. Step 5: Solve for x
    x = 5,337,103,280.12/82,618.60
  6. Step 6: Final answer
    x = 64,599.29

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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.