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Finding the Fourth Proportional to 82,212.76, 113,455.38 and 46,402.84

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Solution

The fourth proportional to 82,212.76, 113,455.38 and 46,402.84 is: 64,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,212.76 : 113,455.38 = 46,402.84 : x
  2. Step 2: Convert to fraction form
    82,212.76/113,455.38 = 46,402.84/x
  3. Step 3: Cross multiply
    82,212.76x = 113,455.38 × 46,402.84
  4. Step 4: Simplify right side
    82,212.76x = 5,264,651,845.28
  5. Step 5: Solve for x
    x = 5,264,651,845.28/82,212.76
  6. Step 6: Final answer
    x = 64,036.92

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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.