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Finding the Fourth Proportional to 52,848.54, 72,933.42 and 28,977

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Solution

The fourth proportional to 52,848.54, 72,933.42 and 28,977 is: 39,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,848.54 : 72,933.42 = 28,977 : x
  2. Step 2: Convert to fraction form
    52,848.54/72,933.42 = 28,977/x
  3. Step 3: Cross multiply
    52,848.54x = 72,933.42 × 28,977
  4. Step 4: Simplify right side
    52,848.54x = 2,113,391,711.34
  5. Step 5: Solve for x
    x = 2,113,391,711.34/52,848.54
  6. Step 6: Final answer
    x = 39,989.60

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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.