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Finding the Fourth Proportional to 78,975.84, 118,446.28 and 22,803.75

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Solution

The fourth proportional to 78,975.84, 118,446.28 and 22,803.75 is: 34,200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,975.84 : 118,446.28 = 22,803.75 : x
  2. Step 2: Convert to fraction form
    78,975.84/118,446.28 = 22,803.75/x
  3. Step 3: Cross multiply
    78,975.84x = 118,446.28 × 22,803.75
  4. Step 4: Simplify right side
    78,975.84x = 2,701,019,357.55
  5. Step 5: Solve for x
    x = 2,701,019,357.55/78,975.84
  6. Step 6: Final answer
    x = 34,200.58

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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.