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Finding the Fourth Proportional to 32,670.95, 49,022.64 and 12,949.07

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Solution

The fourth proportional to 32,670.95, 49,022.64 and 12,949.07 is: 19,430.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,670.95 : 49,022.64 = 12,949.07 : x
  2. Step 2: Convert to fraction form
    32,670.95/49,022.64 = 12,949.07/x
  3. Step 3: Cross multiply
    32,670.95x = 49,022.64 × 12,949.07
  4. Step 4: Simplify right side
    32,670.95x = 634,797,596.94
  5. Step 5: Solve for x
    x = 634,797,596.94/32,670.95
  6. Step 6: Final answer
    x = 19,430.03

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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.