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Finding the Fourth Proportional to 97,057.92, 145,586.92 and 55,475.76

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Solution

The fourth proportional to 97,057.92, 145,586.92 and 55,475.76 is: 83,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,057.92 : 145,586.92 = 55,475.76 : x
  2. Step 2: Convert to fraction form
    97,057.92/145,586.92 = 55,475.76/x
  3. Step 3: Cross multiply
    97,057.92x = 145,586.92 × 55,475.76
  4. Step 4: Simplify right side
    97,057.92x = 8,076,545,033.06
  5. Step 5: Solve for x
    x = 8,076,545,033.06/97,057.92
  6. Step 6: Final answer
    x = 83,213.66

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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.