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Finding the Fourth Proportional to 82,818.62, 114,290.24 and 47,009.23

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Solution

The fourth proportional to 82,818.62, 114,290.24 and 47,009.23 is: 64,873.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,818.62 : 114,290.24 = 47,009.23 : x
  2. Step 2: Convert to fraction form
    82,818.62/114,290.24 = 47,009.23/x
  3. Step 3: Cross multiply
    82,818.62x = 114,290.24 × 47,009.23
  4. Step 4: Simplify right side
    82,818.62x = 5,372,696,178.92
  5. Step 5: Solve for x
    x = 5,372,696,178.92/82,818.62
  6. Step 6: Final answer
    x = 64,873.05

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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.