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Finding the Fourth Proportional to 61,576.13, 92,364.21 and 14,829

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Solution

The fourth proportional to 61,576.13, 92,364.21 and 14,829 is: 22,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,576.13 : 92,364.21 = 14,829 : x
  2. Step 2: Convert to fraction form
    61,576.13/92,364.21 = 14,829/x
  3. Step 3: Cross multiply
    61,576.13x = 92,364.21 × 14,829
  4. Step 4: Simplify right side
    61,576.13x = 1,369,668,870.09
  5. Step 5: Solve for x
    x = 1,369,668,870.09/61,576.13
  6. Step 6: Final answer
    x = 22,243.51

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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.