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Finding the Fourth Proportional to 29,166.40, 43,749.60 and 9,459.10

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Solution

The fourth proportional to 29,166.40, 43,749.60 and 9,459.10 is: 14,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,166.40 : 43,749.60 = 9,459.10 : x
  2. Step 2: Convert to fraction form
    29,166.40/43,749.60 = 9,459.10/x
  3. Step 3: Cross multiply
    29,166.40x = 43,749.60 × 9,459.10
  4. Step 4: Simplify right side
    29,166.40x = 413,831,841.36
  5. Step 5: Solve for x
    x = 413,831,841.36/29,166.40
  6. Step 6: Final answer
    x = 14,188.65

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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.