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Finding the Fourth Proportional to 29,594.30, 40,840.00 and 16,848

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Solution

The fourth proportional to 29,594.30, 40,840.00 and 16,848 is: 23,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,594.30 : 40,840.00 = 16,848 : x
  2. Step 2: Convert to fraction form
    29,594.30/40,840.00 = 16,848/x
  3. Step 3: Cross multiply
    29,594.30x = 40,840.00 × 16,848
  4. Step 4: Simplify right side
    29,594.30x = 688,072,277.88
  5. Step 5: Solve for x
    x = 688,072,277.88/29,594.30
  6. Step 6: Final answer
    x = 23,250.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.