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Finding the Fourth Proportional to 78,865.80, 118,298.70 and 23,461.80

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Solution

The fourth proportional to 78,865.80, 118,298.70 and 23,461.80 is: 35,192.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,865.80 : 118,298.70 = 23,461.80 : x
  2. Step 2: Convert to fraction form
    78,865.80/118,298.70 = 23,461.80/x
  3. Step 3: Cross multiply
    78,865.80x = 118,298.70 × 23,461.80
  4. Step 4: Simplify right side
    78,865.80x = 2,775,500,439.66
  5. Step 5: Solve for x
    x = 2,775,500,439.66/78,865.80
  6. Step 6: Final answer
    x = 35,192.70

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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.