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Finding the Fourth Proportional to 29,076, 43,619.64 and 9,354.84

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Solution

The fourth proportional to 29,076, 43,619.64 and 9,354.84 is: 14,034.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,076 : 43,619.64 = 9,354.84 : x
  2. Step 2: Convert to fraction form
    29,076/43,619.64 = 9,354.84/x
  3. Step 3: Cross multiply
    29,076x = 43,619.64 × 9,354.84
  4. Step 4: Simplify right side
    29,076x = 408,054,753.06
  5. Step 5: Solve for x
    x = 408,054,753.06/29,076
  6. Step 6: Final answer
    x = 14,034.07

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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.