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Finding the Fourth Proportional to 46,648.62, 69,959.93 and 12,906.51

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Solution

The fourth proportional to 46,648.62, 69,959.93 and 12,906.51 is: 19,356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,648.62 : 69,959.93 = 12,906.51 : x
  2. Step 2: Convert to fraction form
    46,648.62/69,959.93 = 12,906.51/x
  3. Step 3: Cross multiply
    46,648.62x = 69,959.93 × 12,906.51
  4. Step 4: Simplify right side
    46,648.62x = 902,938,471.61
  5. Step 5: Solve for x
    x = 902,938,471.61/46,648.62
  6. Step 6: Final answer
    x = 19,356.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.