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Finding the Fourth Proportional to 64,909.42, 89,575.07 and 35,837.84

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Solution

The fourth proportional to 64,909.42, 89,575.07 and 35,837.84 is: 49,456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,909.42 : 89,575.07 = 35,837.84 : x
  2. Step 2: Convert to fraction form
    64,909.42/89,575.07 = 35,837.84/x
  3. Step 3: Cross multiply
    64,909.42x = 89,575.07 × 35,837.84
  4. Step 4: Simplify right side
    64,909.42x = 3,210,177,071.40
  5. Step 5: Solve for x
    x = 3,210,177,071.40/64,909.42
  6. Step 6: Final answer
    x = 49,456.26

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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.