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Finding the Fourth Proportional to 83,161.69, 114,763.13 and 45,435.94

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Solution

The fourth proportional to 83,161.69, 114,763.13 and 45,435.94 is: 62,701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,161.69 : 114,763.13 = 45,435.94 : x
  2. Step 2: Convert to fraction form
    83,161.69/114,763.13 = 45,435.94/x
  3. Step 3: Cross multiply
    83,161.69x = 114,763.13 × 45,435.94
  4. Step 4: Simplify right side
    83,161.69x = 5,214,370,345.19
  5. Step 5: Solve for x
    x = 5,214,370,345.19/83,161.69
  6. Step 6: Final answer
    x = 62,701.59

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1.5x scale

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.