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Finding the Fourth Proportional to 97,386.48, 146,101.60 and 30,830.60

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Solution

The fourth proportional to 97,386.48, 146,101.60 and 30,830.60 is: 46,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,386.48 : 146,101.60 = 30,830.60 : x
  2. Step 2: Convert to fraction form
    97,386.48/146,101.60 = 30,830.60/x
  3. Step 3: Cross multiply
    97,386.48x = 146,101.60 × 30,830.60
  4. Step 4: Simplify right side
    97,386.48x = 4,504,399,988.96
  5. Step 5: Solve for x
    x = 4,504,399,988.96/97,386.48
  6. Step 6: Final answer
    x = 46,252.83

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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.