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Finding the Fourth Proportional to 64,523.95, 96,783.89 and 17,776.42

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Solution

The fourth proportional to 64,523.95, 96,783.89 and 17,776.42 is: 26,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,523.95 : 96,783.89 = 17,776.42 : x
  2. Step 2: Convert to fraction form
    64,523.95/96,783.89 = 17,776.42/x
  3. Step 3: Cross multiply
    64,523.95x = 96,783.89 × 17,776.42
  4. Step 4: Simplify right side
    64,523.95x = 1,720,470,747.03
  5. Step 5: Solve for x
    x = 1,720,470,747.03/64,523.95
  6. Step 6: Final answer
    x = 26,664.07

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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.