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Finding the Fourth Proportional to 31,191.32, 46,790.94 and 14,320.22

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Solution

The fourth proportional to 31,191.32, 46,790.94 and 14,320.22 is: 21,482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,191.32 : 46,790.94 = 14,320.22 : x
  2. Step 2: Convert to fraction form
    31,191.32/46,790.94 = 14,320.22/x
  3. Step 3: Cross multiply
    31,191.32x = 46,790.94 × 14,320.22
  4. Step 4: Simplify right side
    31,191.32x = 670,056,554.81
  5. Step 5: Solve for x
    x = 670,056,554.81/31,191.32
  6. Step 6: Final answer
    x = 21,482.15

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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.