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Finding the Fourth Proportional to 97,370.69, 146,071.17 and 30,804.48

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Solution

The fourth proportional to 97,370.69, 146,071.17 and 30,804.48 is: 46,211.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,370.69 : 146,071.17 = 30,804.48 : x
  2. Step 2: Convert to fraction form
    97,370.69/146,071.17 = 30,804.48/x
  3. Step 3: Cross multiply
    97,370.69x = 146,071.17 × 30,804.48
  4. Step 4: Simplify right side
    97,370.69x = 4,499,646,434.84
  5. Step 5: Solve for x
    x = 4,499,646,434.84/97,370.69
  6. Step 6: Final answer
    x = 46,211.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.