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Finding the Fourth Proportional to 52,295.32, 72,186.06 and 31,074.46

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Solution

The fourth proportional to 52,295.32, 72,186.06 and 31,074.46 is: 42,893.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,295.32 : 72,186.06 = 31,074.46 : x
  2. Step 2: Convert to fraction form
    52,295.32/72,186.06 = 31,074.46/x
  3. Step 3: Cross multiply
    52,295.32x = 72,186.06 × 31,074.46
  4. Step 4: Simplify right side
    52,295.32x = 2,243,142,834.03
  5. Step 5: Solve for x
    x = 2,243,142,834.03/52,295.32
  6. Step 6: Final answer
    x = 42,893.76

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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.