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Finding the Fourth Proportional to 99,678.70, 149,474.16 and 36,482.40

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Solution

The fourth proportional to 99,678.70, 149,474.16 and 36,482.40 is: 54,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,678.70 : 149,474.16 = 36,482.40 : x
  2. Step 2: Convert to fraction form
    99,678.70/149,474.16 = 36,482.40/x
  3. Step 3: Cross multiply
    99,678.70x = 149,474.16 × 36,482.40
  4. Step 4: Simplify right side
    99,678.70x = 5,453,176,094.78
  5. Step 5: Solve for x
    x = 5,453,176,094.78/99,678.70
  6. Step 6: Final answer
    x = 54,707.54

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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.