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Finding the Fourth Proportional to 52,071.40, 78,099.18 and 17,011

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Solution

The fourth proportional to 52,071.40, 78,099.18 and 17,011 is: 25,513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,071.40 : 78,099.18 = 17,011 : x
  2. Step 2: Convert to fraction form
    52,071.40/78,099.18 = 17,011/x
  3. Step 3: Cross multiply
    52,071.40x = 78,099.18 × 17,011
  4. Step 4: Simplify right side
    52,071.40x = 1,328,545,150.98
  5. Step 5: Solve for x
    x = 1,328,545,150.98/52,071.40
  6. Step 6: Final answer
    x = 25,513.91

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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.