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Finding the Fourth Proportional to 32,810.64, 49,216.50 and 12,821.64

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Solution

The fourth proportional to 32,810.64, 49,216.50 and 12,821.64 is: 19,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,810.64 : 49,216.50 = 12,821.64 : x
  2. Step 2: Convert to fraction form
    32,810.64/49,216.50 = 12,821.64/x
  3. Step 3: Cross multiply
    32,810.64x = 49,216.50 × 12,821.64
  4. Step 4: Simplify right side
    32,810.64x = 631,036,245.06
  5. Step 5: Solve for x
    x = 631,036,245.06/32,810.64
  6. Step 6: Final answer
    x = 19,232.67

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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.