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Finding the Fourth Proportional to 43,522, 64,954.16 and 39,322.96

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Solution

The fourth proportional to 43,522, 64,954.16 and 39,322.96 is: 58,687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,522 : 64,954.16 = 39,322.96 : x
  2. Step 2: Convert to fraction form
    43,522/64,954.16 = 39,322.96/x
  3. Step 3: Cross multiply
    43,522x = 64,954.16 × 39,322.96
  4. Step 4: Simplify right side
    43,522x = 2,554,189,835.51
  5. Step 5: Solve for x
    x = 2,554,189,835.51/43,522
  6. Step 6: Final answer
    x = 58,687.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.