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Finding the Fourth Proportional to 42,896.50, 64,344.54 and 10,875.58

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Solution

The fourth proportional to 42,896.50, 64,344.54 and 10,875.58 is: 16,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,896.50 : 64,344.54 = 10,875.58 : x
  2. Step 2: Convert to fraction form
    42,896.50/64,344.54 = 10,875.58/x
  3. Step 3: Cross multiply
    42,896.50x = 64,344.54 × 10,875.58
  4. Step 4: Simplify right side
    42,896.50x = 699,784,192.33
  5. Step 5: Solve for x
    x = 699,784,192.33/42,896.50
  6. Step 6: Final answer
    x = 16,313.32

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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.