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Finding the Fourth Proportional to 31,374.69, 47,048.22 and 14,739.45

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Solution

The fourth proportional to 31,374.69, 47,048.22 and 14,739.45 is: 22,102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,374.69 : 47,048.22 = 14,739.45 : x
  2. Step 2: Convert to fraction form
    31,374.69/47,048.22 = 14,739.45/x
  3. Step 3: Cross multiply
    31,374.69x = 47,048.22 × 14,739.45
  4. Step 4: Simplify right side
    31,374.69x = 693,464,886.28
  5. Step 5: Solve for x
    x = 693,464,886.28/31,374.69
  6. Step 6: Final answer
    x = 22,102.68

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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.