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Finding the Fourth Proportional to 45,814.80, 68,657.40 and 28,232.40

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Solution

The fourth proportional to 45,814.80, 68,657.40 and 28,232.40 is: 42,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,814.80 : 68,657.40 = 28,232.40 : x
  2. Step 2: Convert to fraction form
    45,814.80/68,657.40 = 28,232.40/x
  3. Step 3: Cross multiply
    45,814.80x = 68,657.40 × 28,232.40
  4. Step 4: Simplify right side
    45,814.80x = 1,938,363,179.76
  5. Step 5: Solve for x
    x = 1,938,363,179.76/45,814.80
  6. Step 6: Final answer
    x = 42,308.67

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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.