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Finding the Fourth Proportional to 30,430.80, 45,543.80 and 21,214.80

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Solution

The fourth proportional to 30,430.80, 45,543.80 and 21,214.80 is: 31,750.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,430.80 : 45,543.80 = 21,214.80 : x
  2. Step 2: Convert to fraction form
    30,430.80/45,543.80 = 21,214.80/x
  3. Step 3: Cross multiply
    30,430.80x = 45,543.80 × 21,214.80
  4. Step 4: Simplify right side
    30,430.80x = 966,202,608.24
  5. Step 5: Solve for x
    x = 966,202,608.24/30,430.80
  6. Step 6: Final answer
    x = 31,750.81

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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.