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Finding the Fourth Proportional to 83,084.64, 114,663.44 and 47,285.60

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Solution

The fourth proportional to 83,084.64, 114,663.44 and 47,285.60 is: 65,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,084.64 : 114,663.44 = 47,285.60 : x
  2. Step 2: Convert to fraction form
    83,084.64/114,663.44 = 47,285.60/x
  3. Step 3: Cross multiply
    83,084.64x = 114,663.44 × 47,285.60
  4. Step 4: Simplify right side
    83,084.64x = 5,421,929,558.46
  5. Step 5: Solve for x
    x = 5,421,929,558.46/83,084.64
  6. Step 6: Final answer
    x = 65,257.91

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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.