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Finding the Fourth Proportional to 31,549.34, 47,313.77 and 10,483.72

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Solution

The fourth proportional to 31,549.34, 47,313.77 and 10,483.72 is: 15,722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,549.34 : 47,313.77 = 10,483.72 : x
  2. Step 2: Convert to fraction form
    31,549.34/47,313.77 = 10,483.72/x
  3. Step 3: Cross multiply
    31,549.34x = 47,313.77 × 10,483.72
  4. Step 4: Simplify right side
    31,549.34x = 496,024,316.82
  5. Step 5: Solve for x
    x = 496,024,316.82/31,549.34
  6. Step 6: Final answer
    x = 15,722.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.