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Finding the Fourth Proportional to 31,773, 47,626.24 and 10,705.76

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Solution

The fourth proportional to 31,773, 47,626.24 and 10,705.76 is: 16,047.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773 : 47,626.24 = 10,705.76 : x
  2. Step 2: Convert to fraction form
    31,773/47,626.24 = 10,705.76/x
  3. Step 3: Cross multiply
    31,773x = 47,626.24 × 10,705.76
  4. Step 4: Simplify right side
    31,773x = 509,875,095.14
  5. Step 5: Solve for x
    x = 509,875,095.14/31,773
  6. Step 6: Final answer
    x = 16,047.43

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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.