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Finding the Fourth Proportional to 30,492.68, 45,724 and 10,768.36

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Solution

The fourth proportional to 30,492.68, 45,724 and 10,768.36 is: 16,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492.68 : 45,724 = 10,768.36 : x
  2. Step 2: Convert to fraction form
    30,492.68/45,724 = 10,768.36/x
  3. Step 3: Cross multiply
    30,492.68x = 45,724 × 10,768.36
  4. Step 4: Simplify right side
    30,492.68x = 492,372,492.64
  5. Step 5: Solve for x
    x = 492,372,492.64/30,492.68
  6. Step 6: Final answer
    x = 16,147.24

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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.