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Finding the Fourth Proportional to 65,911.54, 98,881.90 and 36,314.14

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Solution

The fourth proportional to 65,911.54, 98,881.90 and 36,314.14 is: 54,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,911.54 : 98,881.90 = 36,314.14 : x
  2. Step 2: Convert to fraction form
    65,911.54/98,881.90 = 36,314.14/x
  3. Step 3: Cross multiply
    65,911.54x = 98,881.90 × 36,314.14
  4. Step 4: Simplify right side
    65,911.54x = 3,590,811,160.07
  5. Step 5: Solve for x
    x = 3,590,811,160.07/65,911.54
  6. Step 6: Final answer
    x = 54,479.25

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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.