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Finding the Fourth Proportional to 83,009.46, 114,416.46 and 58,818.54

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Solution

The fourth proportional to 83,009.46, 114,416.46 and 58,818.54 is: 81,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,009.46 : 114,416.46 = 58,818.54 : x
  2. Step 2: Convert to fraction form
    83,009.46/114,416.46 = 58,818.54/x
  3. Step 3: Cross multiply
    83,009.46x = 114,416.46 × 58,818.54
  4. Step 4: Simplify right side
    83,009.46x = 6,729,809,129.17
  5. Step 5: Solve for x
    x = 6,729,809,129.17/83,009.46
  6. Step 6: Final answer
    x = 81,072.80

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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.