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Finding the Fourth Proportional to 30,802.30, 46,203.31 and 12,069.10

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Solution

The fourth proportional to 30,802.30, 46,203.31 and 12,069.10 is: 18,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.30 : 46,203.31 = 12,069.10 : x
  2. Step 2: Convert to fraction form
    30,802.30/46,203.31 = 12,069.10/x
  3. Step 3: Cross multiply
    30,802.30x = 46,203.31 × 12,069.10
  4. Step 4: Simplify right side
    30,802.30x = 557,632,368.72
  5. Step 5: Solve for x
    x = 557,632,368.72/30,802.30
  6. Step 6: Final answer
    x = 18,103.60

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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.