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Finding the Fourth Proportional to 98,933, 148,442.70 and 36,586.76

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Solution

The fourth proportional to 98,933, 148,442.70 and 36,586.76 is: 54,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,933 : 148,442.70 = 36,586.76 : x
  2. Step 2: Convert to fraction form
    98,933/148,442.70 = 36,586.76/x
  3. Step 3: Cross multiply
    98,933x = 148,442.70 × 36,586.76
  4. Step 4: Simplify right side
    98,933x = 5,431,037,438.65
  5. Step 5: Solve for x
    x = 5,431,037,438.65/98,933
  6. Step 6: Final answer
    x = 54,896.12

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1.5x scale

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.