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Finding the Fourth Proportional to 31,888.49, 47,839.61 and 9,703.60

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Solution

The fourth proportional to 31,888.49, 47,839.61 and 9,703.60 is: 14,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,888.49 : 47,839.61 = 9,703.60 : x
  2. Step 2: Convert to fraction form
    31,888.49/47,839.61 = 9,703.60/x
  3. Step 3: Cross multiply
    31,888.49x = 47,839.61 × 9,703.60
  4. Step 4: Simplify right side
    31,888.49x = 464,216,344.26
  5. Step 5: Solve for x
    x = 464,216,344.26/31,888.49
  6. Step 6: Final answer
    x = 14,557.49

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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.