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Finding the Fourth Proportional to 31,015.77, 46,530.36 and 9,950.91

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Solution

The fourth proportional to 31,015.77, 46,530.36 and 9,950.91 is: 14,928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,015.77 : 46,530.36 = 9,950.91 : x
  2. Step 2: Convert to fraction form
    31,015.77/46,530.36 = 9,950.91/x
  3. Step 3: Cross multiply
    31,015.77x = 46,530.36 × 9,950.91
  4. Step 4: Simplify right side
    31,015.77x = 463,019,424.63
  5. Step 5: Solve for x
    x = 463,019,424.63/31,015.77
  6. Step 6: Final answer
    x = 14,928.52

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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.