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Finding the Fourth Proportional to 64,967.75, 97,451.64 and 24,448.89

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Solution

The fourth proportional to 64,967.75, 97,451.64 and 24,448.89 is: 36,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,967.75 : 97,451.64 = 24,448.89 : x
  2. Step 2: Convert to fraction form
    64,967.75/97,451.64 = 24,448.89/x
  3. Step 3: Cross multiply
    64,967.75x = 97,451.64 × 24,448.89
  4. Step 4: Simplify right side
    64,967.75x = 2,382,584,426.68
  5. Step 5: Solve for x
    x = 2,382,584,426.68/64,967.75
  6. Step 6: Final answer
    x = 36,673.34

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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.