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Finding the Fourth Proportional to 64,938.30, 97,383.15 and 22,802.10

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Solution

The fourth proportional to 64,938.30, 97,383.15 and 22,802.10 is: 34,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,938.30 : 97,383.15 = 22,802.10 : x
  2. Step 2: Convert to fraction form
    64,938.30/97,383.15 = 22,802.10/x
  3. Step 3: Cross multiply
    64,938.30x = 97,383.15 × 22,802.10
  4. Step 4: Simplify right side
    64,938.30x = 2,220,540,324.62
  5. Step 5: Solve for x
    x = 2,220,540,324.62/64,938.30
  6. Step 6: Final answer
    x = 34,194.62

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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.