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Finding the Fourth Proportional to 84,652, 116,823.82 and 46,926.24

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Solution

The fourth proportional to 84,652, 116,823.82 and 46,926.24 is: 64,760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,652 : 116,823.82 = 46,926.24 : x
  2. Step 2: Convert to fraction form
    84,652/116,823.82 = 46,926.24/x
  3. Step 3: Cross multiply
    84,652x = 116,823.82 × 46,926.24
  4. Step 4: Simplify right side
    84,652x = 5,482,102,615.04
  5. Step 5: Solve for x
    x = 5,482,102,615.04/84,652
  6. Step 6: Final answer
    x = 64,760.46

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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.