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Finding the Fourth Proportional to 52,033.50, 78,047.51 and 14,596.16

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Solution

The fourth proportional to 52,033.50, 78,047.51 and 14,596.16 is: 21,893.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,033.50 : 78,047.51 = 14,596.16 : x
  2. Step 2: Convert to fraction form
    52,033.50/78,047.51 = 14,596.16/x
  3. Step 3: Cross multiply
    52,033.50x = 78,047.51 × 14,596.16
  4. Step 4: Simplify right side
    52,033.50x = 1,139,193,943.56
  5. Step 5: Solve for x
    x = 1,139,193,943.56/52,033.50
  6. Step 6: Final answer
    x = 21,893.47

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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.