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Finding the Fourth Proportional to 43,652.84, 65,480.87 and 14,071.10

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Solution

The fourth proportional to 43,652.84, 65,480.87 and 14,071.10 is: 21,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,652.84 : 65,480.87 = 14,071.10 : x
  2. Step 2: Convert to fraction form
    43,652.84/65,480.87 = 14,071.10/x
  3. Step 3: Cross multiply
    43,652.84x = 65,480.87 × 14,071.10
  4. Step 4: Simplify right side
    43,652.84x = 921,387,577.63
  5. Step 5: Solve for x
    x = 921,387,577.63/43,652.84
  6. Step 6: Final answer
    x = 21,107.16

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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.