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Finding the Fourth Proportional to 57,763.48, 86,623.35 and 22,684

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Solution

The fourth proportional to 57,763.48, 86,623.35 and 22,684 is: 34,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,763.48 : 86,623.35 = 22,684 : x
  2. Step 2: Convert to fraction form
    57,763.48/86,623.35 = 22,684/x
  3. Step 3: Cross multiply
    57,763.48x = 86,623.35 × 22,684
  4. Step 4: Simplify right side
    57,763.48x = 1,964,964,071.40
  5. Step 5: Solve for x
    x = 1,964,964,071.40/57,763.48
  6. Step 6: Final answer
    x = 34,017.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.