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Finding the Fourth Proportional to 42,896.50, 64,328.94 and 14,809.38

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Solution

The fourth proportional to 42,896.50, 64,328.94 and 14,809.38 is: 22,208.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,896.50 : 64,328.94 = 14,809.38 : x
  2. Step 2: Convert to fraction form
    42,896.50/64,328.94 = 14,809.38/x
  3. Step 3: Cross multiply
    42,896.50x = 64,328.94 × 14,809.38
  4. Step 4: Simplify right side
    42,896.50x = 952,671,717.46
  5. Step 5: Solve for x
    x = 952,671,717.46/42,896.50
  6. Step 6: Final answer
    x = 22,208.61

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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.