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Finding the Fourth Proportional to 42,903.92, 64,346 and 11,741.60

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Solution

The fourth proportional to 42,903.92, 64,346 and 11,741.60 is: 17,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,903.92 : 64,346 = 11,741.60 : x
  2. Step 2: Convert to fraction form
    42,903.92/64,346 = 11,741.60/x
  3. Step 3: Cross multiply
    42,903.92x = 64,346 × 11,741.60
  4. Step 4: Simplify right side
    42,903.92x = 755,524,993.60
  5. Step 5: Solve for x
    x = 755,524,993.60/42,903.92
  6. Step 6: Final answer
    x = 17,609.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.