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Finding the Fourth Proportional to 62,582.08, 86,364 and 35,728.24

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Solution

The fourth proportional to 62,582.08, 86,364 and 35,728.24 is: 49,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,582.08 : 86,364 = 35,728.24 : x
  2. Step 2: Convert to fraction form
    62,582.08/86,364 = 35,728.24/x
  3. Step 3: Cross multiply
    62,582.08x = 86,364 × 35,728.24
  4. Step 4: Simplify right side
    62,582.08x = 3,085,633,719.36
  5. Step 5: Solve for x
    x = 3,085,633,719.36/62,582.08
  6. Step 6: Final answer
    x = 49,305.39

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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.