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Finding the Fourth Proportional to 52,811.40, 72,872.82 and 31,582.92

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Solution

The fourth proportional to 52,811.40, 72,872.82 and 31,582.92 is: 43,580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,811.40 : 72,872.82 = 31,582.92 : x
  2. Step 2: Convert to fraction form
    52,811.40/72,872.82 = 31,582.92/x
  3. Step 3: Cross multiply
    52,811.40x = 72,872.82 × 31,582.92
  4. Step 4: Simplify right side
    52,811.40x = 2,301,536,444.23
  5. Step 5: Solve for x
    x = 2,301,536,444.23/52,811.40
  6. Step 6: Final answer
    x = 43,580.30

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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.