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Finding the Fourth Proportional to 30,695.40, 46,016.10 and 20,802.60

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Solution

The fourth proportional to 30,695.40, 46,016.10 and 20,802.60 is: 31,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,695.40 : 46,016.10 = 20,802.60 : x
  2. Step 2: Convert to fraction form
    30,695.40/46,016.10 = 20,802.60/x
  3. Step 3: Cross multiply
    30,695.40x = 46,016.10 × 20,802.60
  4. Step 4: Simplify right side
    30,695.40x = 957,254,521.86
  5. Step 5: Solve for x
    x = 957,254,521.86/30,695.40
  6. Step 6: Final answer
    x = 31,185.60

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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.