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Finding the Fourth Proportional to 70,583.83, 97,362.88 and 41,884.58

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Solution

The fourth proportional to 70,583.83, 97,362.88 and 41,884.58 is: 57,775.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,583.83 : 97,362.88 = 41,884.58 : x
  2. Step 2: Convert to fraction form
    70,583.83/97,362.88 = 41,884.58/x
  3. Step 3: Cross multiply
    70,583.83x = 97,362.88 × 41,884.58
  4. Step 4: Simplify right side
    70,583.83x = 4,078,003,336.39
  5. Step 5: Solve for x
    x = 4,078,003,336.39/70,583.83
  6. Step 6: Final answer
    x = 57,775.32

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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.