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Finding the Fourth Proportional to 83,816, 115,666.20 and 46,089.44

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Solution

The fourth proportional to 83,816, 115,666.20 and 46,089.44 is: 63,603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,816 : 115,666.20 = 46,089.44 : x
  2. Step 2: Convert to fraction form
    83,816/115,666.20 = 46,089.44/x
  3. Step 3: Cross multiply
    83,816x = 115,666.20 × 46,089.44
  4. Step 4: Simplify right side
    83,816x = 5,330,990,384.93
  5. Step 5: Solve for x
    x = 5,330,990,384.93/83,816
  6. Step 6: Final answer
    x = 63,603.49

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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.