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Finding the Fourth Proportional to 48,005.81, 72,006 and 14,725.77

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Solution

The fourth proportional to 48,005.81, 72,006 and 14,725.77 is: 22,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,005.81 : 72,006 = 14,725.77 : x
  2. Step 2: Convert to fraction form
    48,005.81/72,006 = 14,725.77/x
  3. Step 3: Cross multiply
    48,005.81x = 72,006 × 14,725.77
  4. Step 4: Simplify right side
    48,005.81x = 1,060,343,794.62
  5. Step 5: Solve for x
    x = 1,060,343,794.62/48,005.81
  6. Step 6: Final answer
    x = 22,087.82

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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.