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Finding the Fourth Proportional to 30,901.90, 46,349.64 and 20,970.40

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Solution

The fourth proportional to 30,901.90, 46,349.64 and 20,970.40 is: 31,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,901.90 : 46,349.64 = 20,970.40 : x
  2. Step 2: Convert to fraction form
    30,901.90/46,349.64 = 20,970.40/x
  3. Step 3: Cross multiply
    30,901.90x = 46,349.64 × 20,970.40
  4. Step 4: Simplify right side
    30,901.90x = 971,970,490.66
  5. Step 5: Solve for x
    x = 971,970,490.66/30,901.90
  6. Step 6: Final answer
    x = 31,453.42

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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.