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Finding the Fourth Proportional to 52,047.54, 78,071.58 and 20,875.50

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Solution

The fourth proportional to 52,047.54, 78,071.58 and 20,875.50 is: 31,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,047.54 : 78,071.58 = 20,875.50 : x
  2. Step 2: Convert to fraction form
    52,047.54/78,071.58 = 20,875.50/x
  3. Step 3: Cross multiply
    52,047.54x = 78,071.58 × 20,875.50
  4. Step 4: Simplify right side
    52,047.54x = 1,629,783,268.29
  5. Step 5: Solve for x
    x = 1,629,783,268.29/52,047.54
  6. Step 6: Final answer
    x = 31,313.36

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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.