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Finding the Fourth Proportional to 31,355.40, 47,046.89 and 14,714.01

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Solution

The fourth proportional to 31,355.40, 47,046.89 and 14,714.01 is: 22,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,355.40 : 47,046.89 = 14,714.01 : x
  2. Step 2: Convert to fraction form
    31,355.40/47,046.89 = 14,714.01/x
  3. Step 3: Cross multiply
    31,355.40x = 47,046.89 × 14,714.01
  4. Step 4: Simplify right side
    31,355.40x = 692,248,336.36
  5. Step 5: Solve for x
    x = 692,248,336.36/31,355.40
  6. Step 6: Final answer
    x = 22,077.48

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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.