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Finding the Fourth Proportional to 101,935.10, 152,773.32 and 57,586.80

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Solution

The fourth proportional to 101,935.10, 152,773.32 and 57,586.80 is: 86,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,935.10 : 152,773.32 = 57,586.80 : x
  2. Step 2: Convert to fraction form
    101,935.10/152,773.32 = 57,586.80/x
  3. Step 3: Cross multiply
    101,935.10x = 152,773.32 × 57,586.80
  4. Step 4: Simplify right side
    101,935.10x = 8,797,726,624.18
  5. Step 5: Solve for x
    x = 8,797,726,624.18/101,935.10
  6. Step 6: Final answer
    x = 86,307.14

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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.