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Finding the Fourth Proportional to 30,980.83, 46,445.12 and 13,437.45

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Solution

The fourth proportional to 30,980.83, 46,445.12 and 13,437.45 is: 20,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,980.83 : 46,445.12 = 13,437.45 : x
  2. Step 2: Convert to fraction form
    30,980.83/46,445.12 = 13,437.45/x
  3. Step 3: Cross multiply
    30,980.83x = 46,445.12 × 13,437.45
  4. Step 4: Simplify right side
    30,980.83x = 624,103,977.74
  5. Step 5: Solve for x
    x = 624,103,977.74/30,980.83
  6. Step 6: Final answer
    x = 20,144.84

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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.