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Finding the Fourth Proportional to 31,630.17, 47,468.61 and 14,990.16

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Solution

The fourth proportional to 31,630.17, 47,468.61 and 14,990.16 is: 22,496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,630.17 : 47,468.61 = 14,990.16 : x
  2. Step 2: Convert to fraction form
    31,630.17/47,468.61 = 14,990.16/x
  3. Step 3: Cross multiply
    31,630.17x = 47,468.61 × 14,990.16
  4. Step 4: Simplify right side
    31,630.17x = 711,562,058.88
  5. Step 5: Solve for x
    x = 711,562,058.88/31,630.17
  6. Step 6: Final answer
    x = 22,496.31

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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.