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Finding the Fourth Proportional to 59,830.65, 82,564.11 and 35,959.55

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Solution

The fourth proportional to 59,830.65, 82,564.11 and 35,959.55 is: 49,622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,830.65 : 82,564.11 = 35,959.55 : x
  2. Step 2: Convert to fraction form
    59,830.65/82,564.11 = 35,959.55/x
  3. Step 3: Cross multiply
    59,830.65x = 82,564.11 × 35,959.55
  4. Step 4: Simplify right side
    59,830.65x = 2,968,967,828.93
  5. Step 5: Solve for x
    x = 2,968,967,828.93/59,830.65
  6. Step 6: Final answer
    x = 49,622.86

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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.