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Finding the Fourth Proportional to 82,818.87, 114,290.57 and 47,009.48

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Solution

The fourth proportional to 82,818.87, 114,290.57 and 47,009.48 is: 64,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,818.87 : 114,290.57 = 47,009.48 : x
  2. Step 2: Convert to fraction form
    82,818.87/114,290.57 = 47,009.48/x
  3. Step 3: Cross multiply
    82,818.87x = 114,290.57 × 47,009.48
  4. Step 4: Simplify right side
    82,818.87x = 5,372,740,264.60
  5. Step 5: Solve for x
    x = 5,372,740,264.60/82,818.87
  6. Step 6: Final answer
    x = 64,873.38

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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.