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Finding the Fourth Proportional to 103,564.81, 155,347.22 and 32,484.88

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Solution

The fourth proportional to 103,564.81, 155,347.22 and 32,484.88 is: 48,727.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,564.81 : 155,347.22 = 32,484.88 : x
  2. Step 2: Convert to fraction form
    103,564.81/155,347.22 = 32,484.88/x
  3. Step 3: Cross multiply
    103,564.81x = 155,347.22 × 32,484.88
  4. Step 4: Simplify right side
    103,564.81x = 5,046,435,800.03
  5. Step 5: Solve for x
    x = 5,046,435,800.03/103,564.81
  6. Step 6: Final answer
    x = 48,727.32

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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.