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Finding the Fourth Proportional to 30,233.25, 45,345.02 and 21,441.51

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Solution

The fourth proportional to 30,233.25, 45,345.02 and 21,441.51 is: 32,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,233.25 : 45,345.02 = 21,441.51 : x
  2. Step 2: Convert to fraction form
    30,233.25/45,345.02 = 21,441.51/x
  3. Step 3: Cross multiply
    30,233.25x = 45,345.02 × 21,441.51
  4. Step 4: Simplify right side
    30,233.25x = 972,265,592.57
  5. Step 5: Solve for x
    x = 972,265,592.57/30,233.25
  6. Step 6: Final answer
    x = 32,158.82

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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.