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Finding the Fourth Proportional to 30,378.40, 45,545.68 and 20,492.96

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Solution

The fourth proportional to 30,378.40, 45,545.68 and 20,492.96 is: 30,724.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.40 : 45,545.68 = 20,492.96 : x
  2. Step 2: Convert to fraction form
    30,378.40/45,545.68 = 20,492.96/x
  3. Step 3: Cross multiply
    30,378.40x = 45,545.68 × 20,492.96
  4. Step 4: Simplify right side
    30,378.40x = 933,365,798.41
  5. Step 5: Solve for x
    x = 933,365,798.41/30,378.40
  6. Step 6: Final answer
    x = 30,724.65

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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.