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Finding the Fourth Proportional to 31,178.59, 46,783.53 and 14,539.93

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Solution

The fourth proportional to 31,178.59, 46,783.53 and 14,539.93 is: 21,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,178.59 : 46,783.53 = 14,539.93 : x
  2. Step 2: Convert to fraction form
    31,178.59/46,783.53 = 14,539.93/x
  3. Step 3: Cross multiply
    31,178.59x = 46,783.53 × 14,539.93
  4. Step 4: Simplify right side
    31,178.59x = 680,229,251.35
  5. Step 5: Solve for x
    x = 680,229,251.35/31,178.59
  6. Step 6: Final answer
    x = 21,817.19

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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.