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Finding the Fourth Proportional to 30,803.85, 42,509.43 and 19,478.30

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Solution

The fourth proportional to 30,803.85, 42,509.43 and 19,478.30 is: 26,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,803.85 : 42,509.43 = 19,478.30 : x
  2. Step 2: Convert to fraction form
    30,803.85/42,509.43 = 19,478.30/x
  3. Step 3: Cross multiply
    30,803.85x = 42,509.43 × 19,478.30
  4. Step 4: Simplify right side
    30,803.85x = 828,011,217.82
  5. Step 5: Solve for x
    x = 828,011,217.82/30,803.85
  6. Step 6: Final answer
    x = 26,880.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.