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Finding the Fourth Proportional to 65,004, 89,705.52 and 35,196

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Solution

The fourth proportional to 65,004, 89,705.52 and 35,196 is: 48,570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,004 : 89,705.52 = 35,196 : x
  2. Step 2: Convert to fraction form
    65,004/89,705.52 = 35,196/x
  3. Step 3: Cross multiply
    65,004x = 89,705.52 × 35,196
  4. Step 4: Simplify right side
    65,004x = 3,157,275,481.92
  5. Step 5: Solve for x
    x = 3,157,275,481.92/65,004
  6. Step 6: Final answer
    x = 48,570.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.