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Finding the Fourth Proportional to 30,830.50, 46,258.06 and 18,356.40

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Solution

The fourth proportional to 30,830.50, 46,258.06 and 18,356.40 is: 27,541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,830.50 : 46,258.06 = 18,356.40 : x
  2. Step 2: Convert to fraction form
    30,830.50/46,258.06 = 18,356.40/x
  3. Step 3: Cross multiply
    30,830.50x = 46,258.06 × 18,356.40
  4. Step 4: Simplify right side
    30,830.50x = 849,131,452.58
  5. Step 5: Solve for x
    x = 849,131,452.58/30,830.50
  6. Step 6: Final answer
    x = 27,541.93

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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.