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Finding the Fourth Proportional to 43,585, 65,412.53 and 22,531.23

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Solution

The fourth proportional to 43,585, 65,412.53 and 22,531.23 is: 33,814.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,585 : 65,412.53 = 22,531.23 : x
  2. Step 2: Convert to fraction form
    43,585/65,412.53 = 22,531.23/x
  3. Step 3: Cross multiply
    43,585x = 65,412.53 × 22,531.23
  4. Step 4: Simplify right side
    43,585x = 1,473,824,758.31
  5. Step 5: Solve for x
    x = 1,473,824,758.31/43,585
  6. Step 6: Final answer
    x = 33,814.95

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