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Finding the Fourth Proportional to 89,242, 133,868.48 and 26,912.50

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Solution

The fourth proportional to 89,242, 133,868.48 and 26,912.50 is: 40,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,242 : 133,868.48 = 26,912.50 : x
  2. Step 2: Convert to fraction form
    89,242/133,868.48 = 26,912.50/x
  3. Step 3: Cross multiply
    89,242x = 133,868.48 × 26,912.50
  4. Step 4: Simplify right side
    89,242x = 3,602,735,468.00
  5. Step 5: Solve for x
    x = 3,602,735,468.00/89,242
  6. Step 6: Final answer
    x = 40,370.40

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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.