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Finding the Fourth Proportional to 53,845.68, 80,762.16 and 14,405.88

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Solution

The fourth proportional to 53,845.68, 80,762.16 and 14,405.88 is: 21,607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,845.68 : 80,762.16 = 14,405.88 : x
  2. Step 2: Convert to fraction form
    53,845.68/80,762.16 = 14,405.88/x
  3. Step 3: Cross multiply
    53,845.68x = 80,762.16 × 14,405.88
  4. Step 4: Simplify right side
    53,845.68x = 1,163,449,985.50
  5. Step 5: Solve for x
    x = 1,163,449,985.50/53,845.68
  6. Step 6: Final answer
    x = 21,607.12

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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.