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Finding the Fourth Proportional to 61,978.22, 85,506.27 and 38,097.26

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Solution

The fourth proportional to 61,978.22, 85,506.27 and 38,097.26 is: 52,559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,978.22 : 85,506.27 = 38,097.26 : x
  2. Step 2: Convert to fraction form
    61,978.22/85,506.27 = 38,097.26/x
  3. Step 3: Cross multiply
    61,978.22x = 85,506.27 × 38,097.26
  4. Step 4: Simplify right side
    61,978.22x = 3,257,554,599.82
  5. Step 5: Solve for x
    x = 3,257,554,599.82/61,978.22
  6. Step 6: Final answer
    x = 52,559.67

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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.