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Finding the Fourth Proportional to 30,221.81, 45,332.73 and 11,497.53

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Solution

The fourth proportional to 30,221.81, 45,332.73 and 11,497.53 is: 17,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,221.81 : 45,332.73 = 11,497.53 : x
  2. Step 2: Convert to fraction form
    30,221.81/45,332.73 = 11,497.53/x
  3. Step 3: Cross multiply
    30,221.81x = 45,332.73 × 11,497.53
  4. Step 4: Simplify right side
    30,221.81x = 521,214,423.16
  5. Step 5: Solve for x
    x = 521,214,423.16/30,221.81
  6. Step 6: Final answer
    x = 17,246.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.