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Finding the Fourth Proportional to 99,084.50, 148,626.23 and 24,205.06

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Solution

The fourth proportional to 99,084.50, 148,626.23 and 24,205.06 is: 36,307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,084.50 : 148,626.23 = 24,205.06 : x
  2. Step 2: Convert to fraction form
    99,084.50/148,626.23 = 24,205.06/x
  3. Step 3: Cross multiply
    99,084.50x = 148,626.23 × 24,205.06
  4. Step 4: Simplify right side
    99,084.50x = 3,597,506,879.48
  5. Step 5: Solve for x
    x = 3,597,506,879.48/99,084.50
  6. Step 6: Final answer
    x = 36,307.46

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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.