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Finding the Fourth Proportional to 83,161.54, 114,762.90 and 45,435.79

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Solution

The fourth proportional to 83,161.54, 114,762.90 and 45,435.79 is: 62,701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,161.54 : 114,762.90 = 45,435.79 : x
  2. Step 2: Convert to fraction form
    83,161.54/114,762.90 = 45,435.79/x
  3. Step 3: Cross multiply
    83,161.54x = 114,762.90 × 45,435.79
  4. Step 4: Simplify right side
    83,161.54x = 5,214,343,024.19
  5. Step 5: Solve for x
    x = 5,214,343,024.19/83,161.54
  6. Step 6: Final answer
    x = 62,701.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.