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Finding the Fourth Proportional to 30,947.10, 46,387.53 and 14,287.74

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Solution

The fourth proportional to 30,947.10, 46,387.53 and 14,287.74 is: 21,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,947.10 : 46,387.53 = 14,287.74 : x
  2. Step 2: Convert to fraction form
    30,947.10/46,387.53 = 14,287.74/x
  3. Step 3: Cross multiply
    30,947.10x = 46,387.53 × 14,287.74
  4. Step 4: Simplify right side
    30,947.10x = 662,772,967.88
  5. Step 5: Solve for x
    x = 662,772,967.88/30,947.10
  6. Step 6: Final answer
    x = 21,416.32

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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.