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Finding the Fourth Proportional to 84,578.38, 116,718.15 and 46,852.63

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Solution

The fourth proportional to 84,578.38, 116,718.15 and 46,852.63 is: 64,656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,578.38 : 116,718.15 = 46,852.63 : x
  2. Step 2: Convert to fraction form
    84,578.38/116,718.15 = 46,852.63/x
  3. Step 3: Cross multiply
    84,578.38x = 116,718.15 × 46,852.63
  4. Step 4: Simplify right side
    84,578.38x = 5,468,552,296.23
  5. Step 5: Solve for x
    x = 5,468,552,296.23/84,578.38
  6. Step 6: Final answer
    x = 64,656.62

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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.