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Finding the Fourth Proportional to 99,185.50, 148,779.06 and 36,856

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Solution

The fourth proportional to 99,185.50, 148,779.06 and 36,856 is: 55,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,185.50 : 148,779.06 = 36,856 : x
  2. Step 2: Convert to fraction form
    99,185.50/148,779.06 = 36,856/x
  3. Step 3: Cross multiply
    99,185.50x = 148,779.06 × 36,856
  4. Step 4: Simplify right side
    99,185.50x = 5,483,401,035.36
  5. Step 5: Solve for x
    x = 5,483,401,035.36/99,185.50
  6. Step 6: Final answer
    x = 55,284.30

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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.