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Finding the Fourth Proportional to 99,705.53, 149,558.27 and 29,584.84

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Solution

The fourth proportional to 99,705.53, 149,558.27 and 29,584.84 is: 44,377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,705.53 : 149,558.27 = 29,584.84 : x
  2. Step 2: Convert to fraction form
    99,705.53/149,558.27 = 29,584.84/x
  3. Step 3: Cross multiply
    99,705.53x = 149,558.27 × 29,584.84
  4. Step 4: Simplify right side
    99,705.53x = 4,424,657,488.63
  5. Step 5: Solve for x
    x = 4,424,657,488.63/99,705.53
  6. Step 6: Final answer
    x = 44,377.25

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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.