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Finding the Fourth Proportional to 30,384.66, 45,575.19 and 11,673.66

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Solution

The fourth proportional to 30,384.66, 45,575.19 and 11,673.66 is: 17,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,384.66 : 45,575.19 = 11,673.66 : x
  2. Step 2: Convert to fraction form
    30,384.66/45,575.19 = 11,673.66/x
  3. Step 3: Cross multiply
    30,384.66x = 45,575.19 × 11,673.66
  4. Step 4: Simplify right side
    30,384.66x = 532,029,272.50
  5. Step 5: Solve for x
    x = 532,029,272.50/30,384.66
  6. Step 6: Final answer
    x = 17,509.80

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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.