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Finding the Fourth Proportional to 48,384.80, 72,574.32 and 12,843.44

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Solution

The fourth proportional to 48,384.80, 72,574.32 and 12,843.44 is: 19,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,384.80 : 72,574.32 = 12,843.44 : x
  2. Step 2: Convert to fraction form
    48,384.80/72,574.32 = 12,843.44/x
  3. Step 3: Cross multiply
    48,384.80x = 72,574.32 × 12,843.44
  4. Step 4: Simplify right side
    48,384.80x = 932,103,924.46
  5. Step 5: Solve for x
    x = 932,103,924.46/48,384.80
  6. Step 6: Final answer
    x = 19,264.40

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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.