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Finding the Fourth Proportional to 34,085.34, 47,039.70 and 20,477.54

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Solution

The fourth proportional to 34,085.34, 47,039.70 and 20,477.54 is: 28,260.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,085.34 : 47,039.70 = 20,477.54 : x
  2. Step 2: Convert to fraction form
    34,085.34/47,039.70 = 20,477.54/x
  3. Step 3: Cross multiply
    34,085.34x = 47,039.70 × 20,477.54
  4. Step 4: Simplify right side
    34,085.34x = 963,257,415.13
  5. Step 5: Solve for x
    x = 963,257,415.13/34,085.34
  6. Step 6: Final answer
    x = 28,260.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.