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Finding the Fourth Proportional to 52,826.88, 72,902.08 and 28,952

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Solution

The fourth proportional to 52,826.88, 72,902.08 and 28,952 is: 39,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,826.88 : 72,902.08 = 28,952 : x
  2. Step 2: Convert to fraction form
    52,826.88/72,902.08 = 28,952/x
  3. Step 3: Cross multiply
    52,826.88x = 72,902.08 × 28,952
  4. Step 4: Simplify right side
    52,826.88x = 2,110,661,020.16
  5. Step 5: Solve for x
    x = 2,110,661,020.16/52,826.88
  6. Step 6: Final answer
    x = 39,954.30

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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.