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Finding the Fourth Proportional to 84,637.50, 116,799.77 and 46,911.75

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Solution

The fourth proportional to 84,637.50, 116,799.77 and 46,911.75 is: 64,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,637.50 : 116,799.77 = 46,911.75 : x
  2. Step 2: Convert to fraction form
    84,637.50/116,799.77 = 46,911.75/x
  3. Step 3: Cross multiply
    84,637.50x = 116,799.77 × 46,911.75
  4. Step 4: Simplify right side
    84,637.50x = 5,479,281,463.70
  5. Step 5: Solve for x
    x = 5,479,281,463.70/84,637.50
  6. Step 6: Final answer
    x = 64,738.22

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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.