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Finding the Fourth Proportional to 83,285.30, 114,915.30 and 51,026.74

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Solution

The fourth proportional to 83,285.30, 114,915.30 and 51,026.74 is: 70,405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,285.30 : 114,915.30 = 51,026.74 : x
  2. Step 2: Convert to fraction form
    83,285.30/114,915.30 = 51,026.74/x
  3. Step 3: Cross multiply
    83,285.30x = 114,915.30 × 51,026.74
  4. Step 4: Simplify right side
    83,285.30x = 5,863,753,135.12
  5. Step 5: Solve for x
    x = 5,863,753,135.12/83,285.30
  6. Step 6: Final answer
    x = 70,405.62

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1.5x scale

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.