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Finding the Fourth Proportional to 64,810.92, 97,231.14 and 22,693.08

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Solution

The fourth proportional to 64,810.92, 97,231.14 and 22,693.08 is: 34,044.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,810.92 : 97,231.14 = 22,693.08 : x
  2. Step 2: Convert to fraction form
    64,810.92/97,231.14 = 22,693.08/x
  3. Step 3: Cross multiply
    64,810.92x = 97,231.14 × 22,693.08
  4. Step 4: Simplify right side
    64,810.92x = 2,206,474,038.51
  5. Step 5: Solve for x
    x = 2,206,474,038.51/64,810.92
  6. Step 6: Final answer
    x = 34,044.79

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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.