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Finding the Fourth Proportional to 43,769, 65,653.58 and 10,937

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Solution

The fourth proportional to 43,769, 65,653.58 and 10,937 is: 16,405.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,769 : 65,653.58 = 10,937 : x
  2. Step 2: Convert to fraction form
    43,769/65,653.58 = 10,937/x
  3. Step 3: Cross multiply
    43,769x = 65,653.58 × 10,937
  4. Step 4: Simplify right side
    43,769x = 718,053,204.46
  5. Step 5: Solve for x
    x = 718,053,204.46/43,769
  6. Step 6: Final answer
    x = 16,405.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.