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Finding the Fourth Proportional to 84,119.71, 116,084.64 and 46,393.96

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Solution

The fourth proportional to 84,119.71, 116,084.64 and 46,393.96 is: 64,023.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,119.71 : 116,084.64 = 46,393.96 : x
  2. Step 2: Convert to fraction form
    84,119.71/116,084.64 = 46,393.96/x
  3. Step 3: Cross multiply
    84,119.71x = 116,084.64 × 46,393.96
  4. Step 4: Simplify right side
    84,119.71x = 5,385,626,144.77
  5. Step 5: Solve for x
    x = 5,385,626,144.77/84,119.71
  6. Step 6: Final answer
    x = 64,023.36

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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.