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Finding the Fourth Proportional to 30,525.76, 45,787.17 and 8,035.91

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Solution

The fourth proportional to 30,525.76, 45,787.17 and 8,035.91 is: 12,053.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,525.76 : 45,787.17 = 8,035.91 : x
  2. Step 2: Convert to fraction form
    30,525.76/45,787.17 = 8,035.91/x
  3. Step 3: Cross multiply
    30,525.76x = 45,787.17 × 8,035.91
  4. Step 4: Simplify right side
    30,525.76x = 367,941,550.18
  5. Step 5: Solve for x
    x = 367,941,550.18/30,525.76
  6. Step 6: Final answer
    x = 12,053.48

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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.