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Finding the Fourth Proportional to 76,608.36, 114,913.11 and 26,688.38

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Solution

The fourth proportional to 76,608.36, 114,913.11 and 26,688.38 is: 40,032.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,608.36 : 114,913.11 = 26,688.38 : x
  2. Step 2: Convert to fraction form
    76,608.36/114,913.11 = 26,688.38/x
  3. Step 3: Cross multiply
    76,608.36x = 114,913.11 × 26,688.38
  4. Step 4: Simplify right side
    76,608.36x = 3,066,844,502.32
  5. Step 5: Solve for x
    x = 3,066,844,502.32/76,608.36
  6. Step 6: Final answer
    x = 40,032.77

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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.