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Finding the Fourth Proportional to 68,397.40, 102,362.70 and 57,316.60

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Solution

The fourth proportional to 68,397.40, 102,362.70 and 57,316.60 is: 85,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,397.40 : 102,362.70 = 57,316.60 : x
  2. Step 2: Convert to fraction form
    68,397.40/102,362.70 = 57,316.60/x
  3. Step 3: Cross multiply
    68,397.40x = 102,362.70 × 57,316.60
  4. Step 4: Simplify right side
    68,397.40x = 5,867,081,930.82
  5. Step 5: Solve for x
    x = 5,867,081,930.82/68,397.40
  6. Step 6: Final answer
    x = 85,779.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.