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Finding the Fourth Proportional to 65,006.56, 97,513.62 and 18,263.08

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Solution

The fourth proportional to 65,006.56, 97,513.62 and 18,263.08 is: 27,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,006.56 : 97,513.62 = 18,263.08 : x
  2. Step 2: Convert to fraction form
    65,006.56/97,513.62 = 18,263.08/x
  3. Step 3: Cross multiply
    65,006.56x = 97,513.62 × 18,263.08
  4. Step 4: Simplify right side
    65,006.56x = 1,780,899,043.15
  5. Step 5: Solve for x
    x = 1,780,899,043.15/65,006.56
  6. Step 6: Final answer
    x = 27,395.68

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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.