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Finding the Fourth Proportional to 31,016.07, 46,521.34 and 9,950.40

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Solution

The fourth proportional to 31,016.07, 46,521.34 and 9,950.40 is: 14,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,016.07 : 46,521.34 = 9,950.40 : x
  2. Step 2: Convert to fraction form
    31,016.07/46,521.34 = 9,950.40/x
  3. Step 3: Cross multiply
    31,016.07x = 46,521.34 × 9,950.40
  4. Step 4: Simplify right side
    31,016.07x = 462,905,659.18
  5. Step 5: Solve for x
    x = 462,905,659.18/31,016.07
  6. Step 6: Final answer
    x = 14,924.70

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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.