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Finding the Fourth Proportional to 62,509.79, 86,263.52 and 33,829.46

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Solution

The fourth proportional to 62,509.79, 86,263.52 and 33,829.46 is: 46,684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,509.79 : 86,263.52 = 33,829.46 : x
  2. Step 2: Convert to fraction form
    62,509.79/86,263.52 = 33,829.46/x
  3. Step 3: Cross multiply
    62,509.79x = 86,263.52 × 33,829.46
  4. Step 4: Simplify right side
    62,509.79x = 2,918,247,698.83
  5. Step 5: Solve for x
    x = 2,918,247,698.83/62,509.79
  6. Step 6: Final answer
    x = 46,684.65

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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.