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Finding the Fourth Proportional to 84,531.82, 116,657.55 and 46,806.07

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Solution

The fourth proportional to 84,531.82, 116,657.55 and 46,806.07 is: 64,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,531.82 : 116,657.55 = 46,806.07 : x
  2. Step 2: Convert to fraction form
    84,531.82/116,657.55 = 46,806.07/x
  3. Step 3: Cross multiply
    84,531.82x = 116,657.55 × 46,806.07
  4. Step 4: Simplify right side
    84,531.82x = 5,460,281,451.33
  5. Step 5: Solve for x
    x = 5,460,281,451.33/84,531.82
  6. Step 6: Final answer
    x = 64,594.39

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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.