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Finding the Fourth Proportional to 64,400.80, 96,566.64 and 20,008.48

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Solution

The fourth proportional to 64,400.80, 96,566.64 and 20,008.48 is: 30,001.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,400.80 : 96,566.64 = 20,008.48 : x
  2. Step 2: Convert to fraction form
    64,400.80/96,566.64 = 20,008.48/x
  3. Step 3: Cross multiply
    64,400.80x = 96,566.64 × 20,008.48
  4. Step 4: Simplify right side
    64,400.80x = 1,932,151,685.11
  5. Step 5: Solve for x
    x = 1,932,151,685.11/64,400.80
  6. Step 6: Final answer
    x = 30,001.98

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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.