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Finding the Fourth Proportional to 82,254.72, 113,506.92 and 46,452

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Solution

The fourth proportional to 82,254.72, 113,506.92 and 46,452 is: 64,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,254.72 : 113,506.92 = 46,452 : x
  2. Step 2: Convert to fraction form
    82,254.72/113,506.92 = 46,452/x
  3. Step 3: Cross multiply
    82,254.72x = 113,506.92 × 46,452
  4. Step 4: Simplify right side
    82,254.72x = 5,272,623,447.84
  5. Step 5: Solve for x
    x = 5,272,623,447.84/82,254.72
  6. Step 6: Final answer
    x = 64,101.17

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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.