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Finding the Fourth Proportional to 102,071.14, 153,106.71 and 35,511.21

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Solution

The fourth proportional to 102,071.14, 153,106.71 and 35,511.21 is: 53,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,071.14 : 153,106.71 = 35,511.21 : x
  2. Step 2: Convert to fraction form
    102,071.14/153,106.71 = 35,511.21/x
  3. Step 3: Cross multiply
    102,071.14x = 153,106.71 × 35,511.21
  4. Step 4: Simplify right side
    102,071.14x = 5,437,004,398.05
  5. Step 5: Solve for x
    x = 5,437,004,398.05/102,071.14
  6. Step 6: Final answer
    x = 53,266.82

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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.