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Finding the Fourth Proportional to 43,681.52, 65,522.24 and 10,849.52

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Solution

The fourth proportional to 43,681.52, 65,522.24 and 10,849.52 is: 16,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,681.52 : 65,522.24 = 10,849.52 : x
  2. Step 2: Convert to fraction form
    43,681.52/65,522.24 = 10,849.52/x
  3. Step 3: Cross multiply
    43,681.52x = 65,522.24 × 10,849.52
  4. Step 4: Simplify right side
    43,681.52x = 710,884,853.32
  5. Step 5: Solve for x
    x = 710,884,853.32/43,681.52
  6. Step 6: Final answer
    x = 16,274.27

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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.