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Finding the Fourth Proportional to 46,776.96, 70,121.70 and 20,497.32

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Solution

The fourth proportional to 46,776.96, 70,121.70 and 20,497.32 is: 30,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,776.96 : 70,121.70 = 20,497.32 : x
  2. Step 2: Convert to fraction form
    46,776.96/70,121.70 = 20,497.32/x
  3. Step 3: Cross multiply
    46,776.96x = 70,121.70 × 20,497.32
  4. Step 4: Simplify right side
    46,776.96x = 1,437,306,923.84
  5. Step 5: Solve for x
    x = 1,437,306,923.84/46,776.96
  6. Step 6: Final answer
    x = 30,726.81

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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.