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Finding the Fourth Proportional to 48,798, 73,197.04 and 13,737.66

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Solution

The fourth proportional to 48,798, 73,197.04 and 13,737.66 is: 20,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,798 : 73,197.04 = 13,737.66 : x
  2. Step 2: Convert to fraction form
    48,798/73,197.04 = 13,737.66/x
  3. Step 3: Cross multiply
    48,798x = 73,197.04 × 13,737.66
  4. Step 4: Simplify right side
    48,798x = 1,005,556,048.53
  5. Step 5: Solve for x
    x = 1,005,556,048.53/48,798
  6. Step 6: Final answer
    x = 20,606.50

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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.