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Finding the Fourth Proportional to 82,377.10, 113,687.45 and 46,573.48

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Solution

The fourth proportional to 82,377.10, 113,687.45 and 46,573.48 is: 64,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,377.10 : 113,687.45 = 46,573.48 : x
  2. Step 2: Convert to fraction form
    82,377.10/113,687.45 = 46,573.48/x
  3. Step 3: Cross multiply
    82,377.10x = 113,687.45 × 46,573.48
  4. Step 4: Simplify right side
    82,377.10x = 5,294,820,178.83
  5. Step 5: Solve for x
    x = 5,294,820,178.83/82,377.10
  6. Step 6: Final answer
    x = 64,275.39

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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.