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Finding the Fourth Proportional to 82,937, 114,530.82 and 57,856.04

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Solution

The fourth proportional to 82,937, 114,530.82 and 57,856.04 is: 79,895.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,937 : 114,530.82 = 57,856.04 : x
  2. Step 2: Convert to fraction form
    82,937/114,530.82 = 57,856.04/x
  3. Step 3: Cross multiply
    82,937x = 114,530.82 × 57,856.04
  4. Step 4: Simplify right side
    82,937x = 6,626,299,703.15
  5. Step 5: Solve for x
    x = 6,626,299,703.15/82,937
  6. Step 6: Final answer
    x = 79,895.58

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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.