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Finding the Fourth Proportional to 78,830.84, 118,242.94 and 36,696.44

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Solution

The fourth proportional to 78,830.84, 118,242.94 and 36,696.44 is: 55,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,830.84 : 118,242.94 = 36,696.44 : x
  2. Step 2: Convert to fraction form
    78,830.84/118,242.94 = 36,696.44/x
  3. Step 3: Cross multiply
    78,830.84x = 118,242.94 × 36,696.44
  4. Step 4: Simplify right side
    78,830.84x = 4,339,094,953.13
  5. Step 5: Solve for x
    x = 4,339,094,953.13/78,830.84
  6. Step 6: Final answer
    x = 55,043.11

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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.