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Finding the Fourth Proportional to 71,578.49, 98,685.34 and 46,039.19

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Solution

The fourth proportional to 71,578.49, 98,685.34 and 46,039.19 is: 63,474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,578.49 : 98,685.34 = 46,039.19 : x
  2. Step 2: Convert to fraction form
    71,578.49/98,685.34 = 46,039.19/x
  3. Step 3: Cross multiply
    71,578.49x = 98,685.34 × 46,039.19
  4. Step 4: Simplify right side
    71,578.49x = 4,543,392,509.95
  5. Step 5: Solve for x
    x = 4,543,392,509.95/71,578.49
  6. Step 6: Final answer
    x = 63,474.28

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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.