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Finding the Fourth Proportional to 31,549.50, 47,326.68 and 10,773

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Solution

The fourth proportional to 31,549.50, 47,326.68 and 10,773 is: 16,160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,549.50 : 47,326.68 = 10,773 : x
  2. Step 2: Convert to fraction form
    31,549.50/47,326.68 = 10,773/x
  3. Step 3: Cross multiply
    31,549.50x = 47,326.68 × 10,773
  4. Step 4: Simplify right side
    31,549.50x = 509,850,323.64
  5. Step 5: Solve for x
    x = 509,850,323.64/31,549.50
  6. Step 6: Final answer
    x = 16,160.33

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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.