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Finding the Fourth Proportional to 31,094.36, 46,605.02 and 14,419.29

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Solution

The fourth proportional to 31,094.36, 46,605.02 and 14,419.29 is: 21,612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.36 : 46,605.02 = 14,419.29 : x
  2. Step 2: Convert to fraction form
    31,094.36/46,605.02 = 14,419.29/x
  3. Step 3: Cross multiply
    31,094.36x = 46,605.02 × 14,419.29
  4. Step 4: Simplify right side
    31,094.36x = 672,011,226.74
  5. Step 5: Solve for x
    x = 672,011,226.74/31,094.36
  6. Step 6: Final answer
    x = 21,612.00

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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.