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Finding the Fourth Proportional to 29,901, 44,738.64 and 17,848.50

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Solution

The fourth proportional to 29,901, 44,738.64 and 17,848.50 is: 26,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,901 : 44,738.64 = 17,848.50 : x
  2. Step 2: Convert to fraction form
    29,901/44,738.64 = 17,848.50/x
  3. Step 3: Cross multiply
    29,901x = 44,738.64 × 17,848.50
  4. Step 4: Simplify right side
    29,901x = 798,517,616.04
  5. Step 5: Solve for x
    x = 798,517,616.04/29,901
  6. Step 6: Final answer
    x = 26,705.38

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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.