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Finding the Fourth Proportional to 82,833.40, 114,320.64 and 61,672.96

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Solution

The fourth proportional to 82,833.40, 114,320.64 and 61,672.96 is: 85,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,833.40 : 114,320.64 = 61,672.96 : x
  2. Step 2: Convert to fraction form
    82,833.40/114,320.64 = 61,672.96/x
  3. Step 3: Cross multiply
    82,833.40x = 114,320.64 × 61,672.96
  4. Step 4: Simplify right side
    82,833.40x = 7,050,492,257.89
  5. Step 5: Solve for x
    x = 7,050,492,257.89/82,833.40
  6. Step 6: Final answer
    x = 85,116.54

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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.