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Finding the Fourth Proportional to 97,718.72, 146,584 and 27,603.28

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Solution

The fourth proportional to 97,718.72, 146,584 and 27,603.28 is: 41,406.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,718.72 : 146,584 = 27,603.28 : x
  2. Step 2: Convert to fraction form
    97,718.72/146,584 = 27,603.28/x
  3. Step 3: Cross multiply
    97,718.72x = 146,584 × 27,603.28
  4. Step 4: Simplify right side
    97,718.72x = 4,046,199,195.52
  5. Step 5: Solve for x
    x = 4,046,199,195.52/97,718.72
  6. Step 6: Final answer
    x = 41,406.59

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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.