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Finding the Fourth Proportional to 30,930.39, 42,683.76 and 16,782.93

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Solution

The fourth proportional to 30,930.39, 42,683.76 and 16,782.93 is: 23,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.39 : 42,683.76 = 16,782.93 : x
  2. Step 2: Convert to fraction form
    30,930.39/42,683.76 = 16,782.93/x
  3. Step 3: Cross multiply
    30,930.39x = 42,683.76 × 16,782.93
  4. Step 4: Simplify right side
    30,930.39x = 716,358,556.22
  5. Step 5: Solve for x
    x = 716,358,556.22/30,930.39
  6. Step 6: Final answer
    x = 23,160.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.