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Finding the Fourth Proportional to 64,406.60, 96,564.90 and 38,097.80

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Solution

The fourth proportional to 64,406.60, 96,564.90 and 38,097.80 is: 57,120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,406.60 : 96,564.90 = 38,097.80 : x
  2. Step 2: Convert to fraction form
    64,406.60/96,564.90 = 38,097.80/x
  3. Step 3: Cross multiply
    64,406.60x = 96,564.90 × 38,097.80
  4. Step 4: Simplify right side
    64,406.60x = 3,678,910,247.22
  5. Step 5: Solve for x
    x = 3,678,910,247.22/64,406.60
  6. Step 6: Final answer
    x = 57,120.08

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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.