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Finding the Fourth Proportional to 64,858, 89,504.04 and 35,050

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Solution

The fourth proportional to 64,858, 89,504.04 and 35,050 is: 48,369

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,858 : 89,504.04 = 35,050 : x
  2. Step 2: Convert to fraction form
    64,858/89,504.04 = 35,050/x
  3. Step 3: Cross multiply
    64,858x = 89,504.04 × 35,050
  4. Step 4: Simplify right side
    64,858x = 3,137,116,602
  5. Step 5: Solve for x
    x = 3,137,116,602/64,858
  6. Step 6: Final answer
    x = 48,369

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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.