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Finding the Fourth Proportional to 49,196.32, 73,824 and 17,603.86

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Solution

The fourth proportional to 49,196.32, 73,824 and 17,603.86 is: 26,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,196.32 : 73,824 = 17,603.86 : x
  2. Step 2: Convert to fraction form
    49,196.32/73,824 = 17,603.86/x
  3. Step 3: Cross multiply
    49,196.32x = 73,824 × 17,603.86
  4. Step 4: Simplify right side
    49,196.32x = 1,299,587,360.64
  5. Step 5: Solve for x
    x = 1,299,587,360.64/49,196.32
  6. Step 6: Final answer
    x = 26,416.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.