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Finding the Fourth Proportional to 65,906.36, 98,869.18 and 19,153.16

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Solution

The fourth proportional to 65,906.36, 98,869.18 and 19,153.16 is: 28,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,906.36 : 98,869.18 = 19,153.16 : x
  2. Step 2: Convert to fraction form
    65,906.36/98,869.18 = 19,153.16/x
  3. Step 3: Cross multiply
    65,906.36x = 98,869.18 × 19,153.16
  4. Step 4: Simplify right side
    65,906.36x = 1,893,657,223.61
  5. Step 5: Solve for x
    x = 1,893,657,223.61/65,906.36
  6. Step 6: Final answer
    x = 28,732.54

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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.