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Finding the Fourth Proportional to 97,407.72, 146,133.72 and 30,852

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Solution

The fourth proportional to 97,407.72, 146,133.72 and 30,852 is: 46,285.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,407.72 : 146,133.72 = 30,852 : x
  2. Step 2: Convert to fraction form
    97,407.72/146,133.72 = 30,852/x
  3. Step 3: Cross multiply
    97,407.72x = 146,133.72 × 30,852
  4. Step 4: Simplify right side
    97,407.72x = 4,508,517,529.44
  5. Step 5: Solve for x
    x = 4,508,517,529.44/97,407.72
  6. Step 6: Final answer
    x = 46,285.01

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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.