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Finding the Fourth Proportional to 31,106.63, 46,667.10 and 9,758.16

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Solution

The fourth proportional to 31,106.63, 46,667.10 and 9,758.16 is: 14,639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.63 : 46,667.10 = 9,758.16 : x
  2. Step 2: Convert to fraction form
    31,106.63/46,667.10 = 9,758.16/x
  3. Step 3: Cross multiply
    31,106.63x = 46,667.10 × 9,758.16
  4. Step 4: Simplify right side
    31,106.63x = 455,385,028.54
  5. Step 5: Solve for x
    x = 455,385,028.54/31,106.63
  6. Step 6: Final answer
    x = 14,639.49

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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.