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Finding the Fourth Proportional to 32,559.48, 48,806.40 and 12,830.40

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Solution

The fourth proportional to 32,559.48, 48,806.40 and 12,830.40 is: 19,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,559.48 : 48,806.40 = 12,830.40 : x
  2. Step 2: Convert to fraction form
    32,559.48/48,806.40 = 12,830.40/x
  3. Step 3: Cross multiply
    32,559.48x = 48,806.40 × 12,830.40
  4. Step 4: Simplify right side
    32,559.48x = 626,205,634.56
  5. Step 5: Solve for x
    x = 626,205,634.56/32,559.48
  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.