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Finding the Fourth Proportional to 30,562.40, 45,819.54 and 20,578.16

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Solution

The fourth proportional to 30,562.40, 45,819.54 and 20,578.16 is: 30,851.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,562.40 : 45,819.54 = 20,578.16 : x
  2. Step 2: Convert to fraction form
    30,562.40/45,819.54 = 20,578.16/x
  3. Step 3: Cross multiply
    30,562.40x = 45,819.54 × 20,578.16
  4. Step 4: Simplify right side
    30,562.40x = 942,881,825.25
  5. Step 5: Solve for x
    x = 942,881,825.25/30,562.40
  6. Step 6: Final answer
    x = 30,851.04

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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.