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Finding the Fourth Proportional to 46,784.31, 70,213.32 and 21,811.50

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Solution

The fourth proportional to 46,784.31, 70,213.32 and 21,811.50 is: 32,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,784.31 : 70,213.32 = 21,811.50 : x
  2. Step 2: Convert to fraction form
    46,784.31/70,213.32 = 21,811.50/x
  3. Step 3: Cross multiply
    46,784.31x = 70,213.32 × 21,811.50
  4. Step 4: Simplify right side
    46,784.31x = 1,531,457,829.18
  5. Step 5: Solve for x
    x = 1,531,457,829.18/46,784.31
  6. Step 6: Final answer
    x = 32,734.43

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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.