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Finding the Fourth Proportional to 30,032.70, 45,049.05 and 24,200.70

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Solution

The fourth proportional to 30,032.70, 45,049.05 and 24,200.70 is: 36,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,032.70 : 45,049.05 = 24,200.70 : x
  2. Step 2: Convert to fraction form
    30,032.70/45,049.05 = 24,200.70/x
  3. Step 3: Cross multiply
    30,032.70x = 45,049.05 × 24,200.70
  4. Step 4: Simplify right side
    30,032.70x = 1,090,218,544.34
  5. Step 5: Solve for x
    x = 1,090,218,544.34/30,032.70
  6. Step 6: Final answer
    x = 36,301.05

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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.