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Finding the Fourth Proportional to 82,752.74, 114,211.52 and 46,935.15

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Solution

The fourth proportional to 82,752.74, 114,211.52 and 46,935.15 is: 64,777.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,752.74 : 114,211.52 = 46,935.15 : x
  2. Step 2: Convert to fraction form
    82,752.74/114,211.52 = 46,935.15/x
  3. Step 3: Cross multiply
    82,752.74x = 114,211.52 × 46,935.15
  4. Step 4: Simplify right side
    82,752.74x = 5,360,534,335.97
  5. Step 5: Solve for x
    x = 5,360,534,335.97/82,752.74
  6. Step 6: Final answer
    x = 64,777.73

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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.