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Finding the Fourth Proportional to 83,222.61, 114,840.97 and 47,405.62

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Solution

The fourth proportional to 83,222.61, 114,840.97 and 47,405.62 is: 65,416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,222.61 : 114,840.97 = 47,405.62 : x
  2. Step 2: Convert to fraction form
    83,222.61/114,840.97 = 47,405.62/x
  3. Step 3: Cross multiply
    83,222.61x = 114,840.97 × 47,405.62
  4. Step 4: Simplify right side
    83,222.61x = 5,444,107,384.25
  5. Step 5: Solve for x
    x = 5,444,107,384.25/83,222.61
  6. Step 6: Final answer
    x = 65,416.21

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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.