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Finding the Fourth Proportional to 48,706.16, 73,053.52 and 13,648.64

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Solution

The fourth proportional to 48,706.16, 73,053.52 and 13,648.64 is: 20,471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,706.16 : 73,053.52 = 13,648.64 : x
  2. Step 2: Convert to fraction form
    48,706.16/73,053.52 = 13,648.64/x
  3. Step 3: Cross multiply
    48,706.16x = 73,053.52 × 13,648.64
  4. Step 4: Simplify right side
    48,706.16x = 997,081,195.21
  5. Step 5: Solve for x
    x = 997,081,195.21/48,706.16
  6. Step 6: Final answer
    x = 20,471.36

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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.