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Finding the Fourth Proportional to 30,614.08, 45,925.92 and 13,084

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Solution

The fourth proportional to 30,614.08, 45,925.92 and 13,084 is: 19,628.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,614.08 : 45,925.92 = 13,084 : x
  2. Step 2: Convert to fraction form
    30,614.08/45,925.92 = 13,084/x
  3. Step 3: Cross multiply
    30,614.08x = 45,925.92 × 13,084
  4. Step 4: Simplify right side
    30,614.08x = 600,894,737.28
  5. Step 5: Solve for x
    x = 600,894,737.28/30,614.08
  6. Step 6: Final answer
    x = 19,628.05

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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.