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Finding the Fourth Proportional to 65,223.54, 97,795.32 and 27,762.28

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Solution

The fourth proportional to 65,223.54, 97,795.32 and 27,762.28 is: 41,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,223.54 : 97,795.32 = 27,762.28 : x
  2. Step 2: Convert to fraction form
    65,223.54/97,795.32 = 27,762.28/x
  3. Step 3: Cross multiply
    65,223.54x = 97,795.32 × 27,762.28
  4. Step 4: Simplify right side
    65,223.54x = 2,715,020,428.74
  5. Step 5: Solve for x
    x = 2,715,020,428.74/65,223.54
  6. Step 6: Final answer
    x = 41,626.39

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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.