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Finding the Fourth Proportional to 32,184.06, 48,279.44 and 8,810.50

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Solution

The fourth proportional to 32,184.06, 48,279.44 and 8,810.50 is: 13,216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184.06 : 48,279.44 = 8,810.50 : x
  2. Step 2: Convert to fraction form
    32,184.06/48,279.44 = 8,810.50/x
  3. Step 3: Cross multiply
    32,184.06x = 48,279.44 × 8,810.50
  4. Step 4: Simplify right side
    32,184.06x = 425,366,006.12
  5. Step 5: Solve for x
    x = 425,366,006.12/32,184.06
  6. Step 6: Final answer
    x = 13,216.67

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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.