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Finding the Fourth Proportional to 53,656.96, 80,487.01 and 14,214.08

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Solution

The fourth proportional to 53,656.96, 80,487.01 and 14,214.08 is: 21,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,656.96 : 80,487.01 = 14,214.08 : x
  2. Step 2: Convert to fraction form
    53,656.96/80,487.01 = 14,214.08/x
  3. Step 3: Cross multiply
    53,656.96x = 80,487.01 × 14,214.08
  4. Step 4: Simplify right side
    53,656.96x = 1,144,048,498.76
  5. Step 5: Solve for x
    x = 1,144,048,498.76/53,656.96
  6. Step 6: Final answer
    x = 21,321.53

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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.