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Finding the Fourth Proportional to 30,838.42, 46,258.51 and 9,778.56

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Solution

The fourth proportional to 30,838.42, 46,258.51 and 9,778.56 is: 14,668.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.42 : 46,258.51 = 9,778.56 : x
  2. Step 2: Convert to fraction form
    30,838.42/46,258.51 = 9,778.56/x
  3. Step 3: Cross multiply
    30,838.42x = 46,258.51 × 9,778.56
  4. Step 4: Simplify right side
    30,838.42x = 452,341,615.55
  5. Step 5: Solve for x
    x = 452,341,615.55/30,838.42
  6. Step 6: Final answer
    x = 14,668.12

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