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Finding the Fourth Proportional to 65,047, 89,765.22 and 35,239

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Solution

The fourth proportional to 65,047, 89,765.22 and 35,239 is: 48,630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,047 : 89,765.22 = 35,239 : x
  2. Step 2: Convert to fraction form
    65,047/89,765.22 = 35,239/x
  3. Step 3: Cross multiply
    65,047x = 89,765.22 × 35,239
  4. Step 4: Simplify right side
    65,047x = 3,163,236,587.58
  5. Step 5: Solve for x
    x = 3,163,236,587.58/65,047
  6. Step 6: Final answer
    x = 48,630.02

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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.