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Finding the Fourth Proportional to 29,099, 43,648.50 and 8,322.50

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Solution

The fourth proportional to 29,099, 43,648.50 and 8,322.50 is: 12,483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,099 : 43,648.50 = 8,322.50 : x
  2. Step 2: Convert to fraction form
    29,099/43,648.50 = 8,322.50/x
  3. Step 3: Cross multiply
    29,099x = 43,648.50 × 8,322.50
  4. Step 4: Simplify right side
    29,099x = 363,264,641.25
  5. Step 5: Solve for x
    x = 363,264,641.25/29,099
  6. Step 6: Final answer
    x = 12,483.75

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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.