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Finding the Fourth Proportional to 30,232.80, 45,351.36 and 8,045.28

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Solution

The fourth proportional to 30,232.80, 45,351.36 and 8,045.28 is: 12,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,232.80 : 45,351.36 = 8,045.28 : x
  2. Step 2: Convert to fraction form
    30,232.80/45,351.36 = 8,045.28/x
  3. Step 3: Cross multiply
    30,232.80x = 45,351.36 × 8,045.28
  4. Step 4: Simplify right side
    30,232.80x = 364,864,389.58
  5. Step 5: Solve for x
    x = 364,864,389.58/30,232.80
  6. Step 6: Final answer
    x = 12,068.49

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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.