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Finding the Fourth Proportional to 32,853.87, 45,364.91 and 31,202.69

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Solution

The fourth proportional to 32,853.87, 45,364.91 and 31,202.69 is: 43,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.87 : 45,364.91 = 31,202.69 : x
  2. Step 2: Convert to fraction form
    32,853.87/45,364.91 = 31,202.69/x
  3. Step 3: Cross multiply
    32,853.87x = 45,364.91 × 31,202.69
  4. Step 4: Simplify right side
    32,853.87x = 1,415,506,840.77
  5. Step 5: Solve for x
    x = 1,415,506,840.77/32,853.87
  6. Step 6: Final answer
    x = 43,084.93

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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.