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Finding the Fourth Proportional to 64,990, 89,686.32 and 35,182

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Solution

The fourth proportional to 64,990, 89,686.32 and 35,182 is: 48,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,990 : 89,686.32 = 35,182 : x
  2. Step 2: Convert to fraction form
    64,990/89,686.32 = 35,182/x
  3. Step 3: Cross multiply
    64,990x = 89,686.32 × 35,182
  4. Step 4: Simplify right side
    64,990x = 3,155,344,110.24
  5. Step 5: Solve for x
    x = 3,155,344,110.24/64,990
  6. Step 6: Final answer
    x = 48,551.22

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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.