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Finding the Fourth Proportional to 50,789, 70,088.82 and 28,433

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Solution

The fourth proportional to 50,789, 70,088.82 and 28,433 is: 39,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,789 : 70,088.82 = 28,433 : x
  2. Step 2: Convert to fraction form
    50,789/70,088.82 = 28,433/x
  3. Step 3: Cross multiply
    50,789x = 70,088.82 × 28,433
  4. Step 4: Simplify right side
    50,789x = 1,992,835,419.06
  5. Step 5: Solve for x
    x = 1,992,835,419.06/50,789
  6. Step 6: Final answer
    x = 39,237.54

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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.