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Finding the Fourth Proportional to 78,846.56, 118,285.40 and 28,927.08

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Solution

The fourth proportional to 78,846.56, 118,285.40 and 28,927.08 is: 43,396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,846.56 : 118,285.40 = 28,927.08 : x
  2. Step 2: Convert to fraction form
    78,846.56/118,285.40 = 28,927.08/x
  3. Step 3: Cross multiply
    78,846.56x = 118,285.40 × 28,927.08
  4. Step 4: Simplify right side
    78,846.56x = 3,421,651,228.63
  5. Step 5: Solve for x
    x = 3,421,651,228.63/78,846.56
  6. Step 6: Final answer
    x = 43,396.33

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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.