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Finding the Fourth Proportional to 99,574.50, 149,376.50 and 32,083.92

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Solution

The fourth proportional to 99,574.50, 149,376.50 and 32,083.92 is: 48,130.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,574.50 : 149,376.50 = 32,083.92 : x
  2. Step 2: Convert to fraction form
    99,574.50/149,376.50 = 32,083.92/x
  3. Step 3: Cross multiply
    99,574.50x = 149,376.50 × 32,083.92
  4. Step 4: Simplify right side
    99,574.50x = 4,792,583,675.88
  5. Step 5: Solve for x
    x = 4,792,583,675.88/99,574.50
  6. Step 6: Final answer
    x = 48,130.63

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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.