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Finding the Fourth Proportional to 52,273.94, 78,409.04 and 14,833.89

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Solution

The fourth proportional to 52,273.94, 78,409.04 and 14,833.89 is: 22,250.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,273.94 : 78,409.04 = 14,833.89 : x
  2. Step 2: Convert to fraction form
    52,273.94/78,409.04 = 14,833.89/x
  3. Step 3: Cross multiply
    52,273.94x = 78,409.04 × 14,833.89
  4. Step 4: Simplify right side
    52,273.94x = 1,163,111,000.20
  5. Step 5: Solve for x
    x = 1,163,111,000.20/52,273.94
  6. Step 6: Final answer
    x = 22,250.31

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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.