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Finding the Fourth Proportional to 46,092, 63,473 and 40,039.46

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Solution

The fourth proportional to 46,092, 63,473 and 40,039.46 is: 55,138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,092 : 63,473 = 40,039.46 : x
  2. Step 2: Convert to fraction form
    46,092/63,473 = 40,039.46/x
  3. Step 3: Cross multiply
    46,092x = 63,473 × 40,039.46
  4. Step 4: Simplify right side
    46,092x = 2,541,424,644.58
  5. Step 5: Solve for x
    x = 2,541,424,644.58/46,092
  6. Step 6: Final answer
    x = 55,138.09

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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.