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Finding the Fourth Proportional to 30,281.64, 45,420.75 and 9,221.22

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Solution

The fourth proportional to 30,281.64, 45,420.75 and 9,221.22 is: 13,831.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,281.64 : 45,420.75 = 9,221.22 : x
  2. Step 2: Convert to fraction form
    30,281.64/45,420.75 = 9,221.22/x
  3. Step 3: Cross multiply
    30,281.64x = 45,420.75 × 9,221.22
  4. Step 4: Simplify right side
    30,281.64x = 418,834,728.32
  5. Step 5: Solve for x
    x = 418,834,728.32/30,281.64
  6. Step 6: Final answer
    x = 13,831.31

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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.