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Finding the Fourth Proportional to 32,967.48, 49,459.41 and 9,593.91

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Solution

The fourth proportional to 32,967.48, 49,459.41 and 9,593.91 is: 14,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967.48 : 49,459.41 = 9,593.91 : x
  2. Step 2: Convert to fraction form
    32,967.48/49,459.41 = 9,593.91/x
  3. Step 3: Cross multiply
    32,967.48x = 49,459.41 × 9,593.91
  4. Step 4: Simplify right side
    32,967.48x = 474,509,128.19
  5. Step 5: Solve for x
    x = 474,509,128.19/32,967.48
  6. Step 6: Final answer
    x = 14,393.25

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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.