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Finding the Fourth Proportional to 30,602.80, 45,898.28 and 8,410.52

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Solution

The fourth proportional to 30,602.80, 45,898.28 and 8,410.52 is: 12,614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.80 : 45,898.28 = 8,410.52 : x
  2. Step 2: Convert to fraction form
    30,602.80/45,898.28 = 8,410.52/x
  3. Step 3: Cross multiply
    30,602.80x = 45,898.28 × 8,410.52
  4. Step 4: Simplify right side
    30,602.80x = 386,028,401.91
  5. Step 5: Solve for x
    x = 386,028,401.91/30,602.80
  6. Step 6: Final answer
    x = 12,614.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.