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Finding the Fourth Proportional to 43,547.50, 65,321.57 and 10,715.50

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Solution

The fourth proportional to 43,547.50, 65,321.57 and 10,715.50 is: 16,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,547.50 : 65,321.57 = 10,715.50 : x
  2. Step 2: Convert to fraction form
    43,547.50/65,321.57 = 10,715.50/x
  3. Step 3: Cross multiply
    43,547.50x = 65,321.57 × 10,715.50
  4. Step 4: Simplify right side
    43,547.50x = 699,953,283.34
  5. Step 5: Solve for x
    x = 699,953,283.34/43,547.50
  6. Step 6: Final answer
    x = 16,073.33

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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.