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Finding the Fourth Proportional to 30,762.12, 46,076.16 and 20,220.24

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Solution

The fourth proportional to 30,762.12, 46,076.16 and 20,220.24 is: 30,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.12 : 46,076.16 = 20,220.24 : x
  2. Step 2: Convert to fraction form
    30,762.12/46,076.16 = 20,220.24/x
  3. Step 3: Cross multiply
    30,762.12x = 46,076.16 × 20,220.24
  4. Step 4: Simplify right side
    30,762.12x = 931,671,013.48
  5. Step 5: Solve for x
    x = 931,671,013.48/30,762.12
  6. Step 6: Final answer
    x = 30,286.31

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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.