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Finding the Fourth Proportional to 43,389.61, 65,010.12 and 23,682

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Solution

The fourth proportional to 43,389.61, 65,010.12 and 23,682 is: 35,482.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,389.61 : 65,010.12 = 23,682 : x
  2. Step 2: Convert to fraction form
    43,389.61/65,010.12 = 23,682/x
  3. Step 3: Cross multiply
    43,389.61x = 65,010.12 × 23,682
  4. Step 4: Simplify right side
    43,389.61x = 1,539,569,661.84
  5. Step 5: Solve for x
    x = 1,539,569,661.84/43,389.61
  6. Step 6: Final answer
    x = 35,482.45

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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.