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Finding the Fourth Proportional to 30,428.80, 45,643.20 and 21,097.60

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Solution

The fourth proportional to 30,428.80, 45,643.20 and 21,097.60 is: 31,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,428.80 : 45,643.20 = 21,097.60 : x
  2. Step 2: Convert to fraction form
    30,428.80/45,643.20 = 21,097.60/x
  3. Step 3: Cross multiply
    30,428.80x = 45,643.20 × 21,097.60
  4. Step 4: Simplify right side
    30,428.80x = 962,961,976.32
  5. Step 5: Solve for x
    x = 962,961,976.32/30,428.80
  6. Step 6: Final answer
    x = 31,646.40

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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.