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Finding the Fourth Proportional to 30,842.64, 46,264.68 and 14,216.58

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Solution

The fourth proportional to 30,842.64, 46,264.68 and 14,216.58 is: 21,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.64 : 46,264.68 = 14,216.58 : x
  2. Step 2: Convert to fraction form
    30,842.64/46,264.68 = 14,216.58/x
  3. Step 3: Cross multiply
    30,842.64x = 46,264.68 × 14,216.58
  4. Step 4: Simplify right side
    30,842.64x = 657,725,524.39
  5. Step 5: Solve for x
    x = 657,725,524.39/30,842.64
  6. Step 6: Final answer
    x = 21,325.20

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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.