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Finding the Fourth Proportional to 30,871.90, 46,315.53 and 14,243.52

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Solution

The fourth proportional to 30,871.90, 46,315.53 and 14,243.52 is: 21,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.90 : 46,315.53 = 14,243.52 : x
  2. Step 2: Convert to fraction form
    30,871.90/46,315.53 = 14,243.52/x
  3. Step 3: Cross multiply
    30,871.90x = 46,315.53 × 14,243.52
  4. Step 4: Simplify right side
    30,871.90x = 659,696,281.38
  5. Step 5: Solve for x
    x = 659,696,281.38/30,871.90
  6. Step 6: Final answer
    x = 21,368.83

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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.