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Finding the Fourth Proportional to 82,271.66, 113,528.66 and 46,456.70

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Solution

The fourth proportional to 82,271.66, 113,528.66 and 46,456.70 is: 64,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,271.66 : 113,528.66 = 46,456.70 : x
  2. Step 2: Convert to fraction form
    82,271.66/113,528.66 = 46,456.70/x
  3. Step 3: Cross multiply
    82,271.66x = 113,528.66 × 46,456.70
  4. Step 4: Simplify right side
    82,271.66x = 5,274,166,899.02
  5. Step 5: Solve for x
    x = 5,274,166,899.02/82,271.66
  6. Step 6: Final answer
    x = 64,106.73

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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.