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Finding the Fourth Proportional to 84,646, 116,811.48 and 46,926

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Solution

The fourth proportional to 84,646, 116,811.48 and 46,926 is: 64,757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,646 : 116,811.48 = 46,926 : x
  2. Step 2: Convert to fraction form
    84,646/116,811.48 = 46,926/x
  3. Step 3: Cross multiply
    84,646x = 116,811.48 × 46,926
  4. Step 4: Simplify right side
    84,646x = 5,481,495,510.48
  5. Step 5: Solve for x
    x = 5,481,495,510.48/84,646
  6. Step 6: Final answer
    x = 64,757.88

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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.