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Finding the Fourth Proportional to 32,384.61, 48,490.44 and 19,046.47

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Solution

The fourth proportional to 32,384.61, 48,490.44 and 19,046.47 is: 28,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,384.61 : 48,490.44 = 19,046.47 : x
  2. Step 2: Convert to fraction form
    32,384.61/48,490.44 = 19,046.47/x
  3. Step 3: Cross multiply
    32,384.61x = 48,490.44 × 19,046.47
  4. Step 4: Simplify right side
    32,384.61x = 923,571,710.75
  5. Step 5: Solve for x
    x = 923,571,710.75/32,384.61
  6. Step 6: Final answer
    x = 28,518.85

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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.