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Finding the Fourth Proportional to 43,562, 65,343.32 and 10,730

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Solution

The fourth proportional to 43,562, 65,343.32 and 10,730 is: 16,095.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,562 : 65,343.32 = 10,730 : x
  2. Step 2: Convert to fraction form
    43,562/65,343.32 = 10,730/x
  3. Step 3: Cross multiply
    43,562x = 65,343.32 × 10,730
  4. Step 4: Simplify right side
    43,562x = 701,133,823.60
  5. Step 5: Solve for x
    x = 701,133,823.60/43,562
  6. Step 6: Final answer
    x = 16,095.08

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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.