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Finding the Fourth Proportional to 30,109.41, 45,140 and 14,306.51

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Solution

The fourth proportional to 30,109.41, 45,140 and 14,306.51 is: 21,448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,109.41 : 45,140 = 14,306.51 : x
  2. Step 2: Convert to fraction form
    30,109.41/45,140 = 14,306.51/x
  3. Step 3: Cross multiply
    30,109.41x = 45,140 × 14,306.51
  4. Step 4: Simplify right side
    30,109.41x = 645,795,861.40
  5. Step 5: Solve for x
    x = 645,795,861.40/30,109.41
  6. Step 6: Final answer
    x = 21,448.31

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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.