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Finding the Fourth Proportional to 30,686.22, 46,010.70 and 20,020.50

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Solution

The fourth proportional to 30,686.22, 46,010.70 and 20,020.50 is: 30,018.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,686.22 : 46,010.70 = 20,020.50 : x
  2. Step 2: Convert to fraction form
    30,686.22/46,010.70 = 20,020.50/x
  3. Step 3: Cross multiply
    30,686.22x = 46,010.70 × 20,020.50
  4. Step 4: Simplify right side
    30,686.22x = 921,157,219.35
  5. Step 5: Solve for x
    x = 921,157,219.35/30,686.22
  6. Step 6: Final answer
    x = 30,018.60

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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.