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Finding the Fourth Proportional to 84,212.52, 116,213.04 and 46,486.50

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Solution

The fourth proportional to 84,212.52, 116,213.04 and 46,486.50 is: 64,151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,212.52 : 116,213.04 = 46,486.50 : x
  2. Step 2: Convert to fraction form
    84,212.52/116,213.04 = 46,486.50/x
  3. Step 3: Cross multiply
    84,212.52x = 116,213.04 × 46,486.50
  4. Step 4: Simplify right side
    84,212.52x = 5,402,337,483.96
  5. Step 5: Solve for x
    x = 5,402,337,483.96/84,212.52
  6. Step 6: Final answer
    x = 64,151.24

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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.