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Finding the Fourth Proportional to 99,184.50, 148,777.56 and 36,855

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Solution

The fourth proportional to 99,184.50, 148,777.56 and 36,855 is: 55,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,184.50 : 148,777.56 = 36,855 : x
  2. Step 2: Convert to fraction form
    99,184.50/148,777.56 = 36,855/x
  3. Step 3: Cross multiply
    99,184.50x = 148,777.56 × 36,855
  4. Step 4: Simplify right side
    99,184.50x = 5,483,196,973.80
  5. Step 5: Solve for x
    x = 5,483,196,973.80/99,184.50
  6. Step 6: Final answer
    x = 55,282.80

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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.