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Finding the Fourth Proportional to 35,705.69, 49,271.94 and 20,597.44

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Solution

The fourth proportional to 35,705.69, 49,271.94 and 20,597.44 is: 28,423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,705.69 : 49,271.94 = 20,597.44 : x
  2. Step 2: Convert to fraction form
    35,705.69/49,271.94 = 20,597.44/x
  3. Step 3: Cross multiply
    35,705.69x = 49,271.94 × 20,597.44
  4. Step 4: Simplify right side
    35,705.69x = 1,014,875,827.83
  5. Step 5: Solve for x
    x = 1,014,875,827.83/35,705.69
  6. Step 6: Final answer
    x = 28,423.36

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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.