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Finding the Fourth Proportional to 49,053, 73,580.21 and 13,992.68

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Solution

The fourth proportional to 49,053, 73,580.21 and 13,992.68 is: 20,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,053 : 73,580.21 = 13,992.68 : x
  2. Step 2: Convert to fraction form
    49,053/73,580.21 = 13,992.68/x
  3. Step 3: Cross multiply
    49,053x = 73,580.21 × 13,992.68
  4. Step 4: Simplify right side
    49,053x = 1,029,583,895.00
  5. Step 5: Solve for x
    x = 1,029,583,895.00/49,053
  6. Step 6: Final answer
    x = 20,989.21

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1.5x scale

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.