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Finding the Fourth Proportional to 78,555.96, 117,852.66 and 23,151.96

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Solution

The fourth proportional to 78,555.96, 117,852.66 and 23,151.96 is: 34,733.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,555.96 : 117,852.66 = 23,151.96 : x
  2. Step 2: Convert to fraction form
    78,555.96/117,852.66 = 23,151.96/x
  3. Step 3: Cross multiply
    78,555.96x = 117,852.66 × 23,151.96
  4. Step 4: Simplify right side
    78,555.96x = 2,728,520,070.21
  5. Step 5: Solve for x
    x = 2,728,520,070.21/78,555.96
  6. Step 6: Final answer
    x = 34,733.46

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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.