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Finding the Fourth Proportional to 53,900.40, 80,856.03 and 14,461.50

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Solution

The fourth proportional to 53,900.40, 80,856.03 and 14,461.50 is: 21,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,900.40 : 80,856.03 = 14,461.50 : x
  2. Step 2: Convert to fraction form
    53,900.40/80,856.03 = 14,461.50/x
  3. Step 3: Cross multiply
    53,900.40x = 80,856.03 × 14,461.50
  4. Step 4: Simplify right side
    53,900.40x = 1,169,299,477.85
  5. Step 5: Solve for x
    x = 1,169,299,477.85/53,900.40
  6. Step 6: Final answer
    x = 21,693.71

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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.