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Finding the Fourth Proportional to 65,894.16, 98,693.59 and 39,544.46

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Solution

The fourth proportional to 65,894.16, 98,693.59 and 39,544.46 is: 59,228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,894.16 : 98,693.59 = 39,544.46 : x
  2. Step 2: Convert to fraction form
    65,894.16/98,693.59 = 39,544.46/x
  3. Step 3: Cross multiply
    65,894.16x = 98,693.59 × 39,544.46
  4. Step 4: Simplify right side
    65,894.16x = 3,902,784,722.01
  5. Step 5: Solve for x
    x = 3,902,784,722.01/65,894.16
  6. Step 6: Final answer
    x = 59,228.08

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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.