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Finding the Fourth Proportional to 85,558.96, 128,312.28 and 30,142

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Solution

The fourth proportional to 85,558.96, 128,312.28 and 30,142 is: 45,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,558.96 : 128,312.28 = 30,142 : x
  2. Step 2: Convert to fraction form
    85,558.96/128,312.28 = 30,142/x
  3. Step 3: Cross multiply
    85,558.96x = 128,312.28 × 30,142
  4. Step 4: Simplify right side
    85,558.96x = 3,867,588,743.76
  5. Step 5: Solve for x
    x = 3,867,588,743.76/85,558.96
  6. Step 6: Final answer
    x = 45,203.78

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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.