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Finding the Fourth Proportional to 30,428.70, 45,643.14 and 9,368.60

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Solution

The fourth proportional to 30,428.70, 45,643.14 and 9,368.60 is: 14,052.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,428.70 : 45,643.14 = 9,368.60 : x
  2. Step 2: Convert to fraction form
    30,428.70/45,643.14 = 9,368.60/x
  3. Step 3: Cross multiply
    30,428.70x = 45,643.14 × 9,368.60
  4. Step 4: Simplify right side
    30,428.70x = 427,612,093.19
  5. Step 5: Solve for x
    x = 427,612,093.19/30,428.70
  6. Step 6: Final answer
    x = 14,052.92

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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.