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Finding the Fourth Proportional to 51,238.38, 70,708.80 and 28,577.40

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Solution

The fourth proportional to 51,238.38, 70,708.80 and 28,577.40 is: 39,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,238.38 : 70,708.80 = 28,577.40 : x
  2. Step 2: Convert to fraction form
    51,238.38/70,708.80 = 28,577.40/x
  3. Step 3: Cross multiply
    51,238.38x = 70,708.80 × 28,577.40
  4. Step 4: Simplify right side
    51,238.38x = 2,020,673,661.12
  5. Step 5: Solve for x
    x = 2,020,673,661.12/51,238.38
  6. Step 6: Final answer
    x = 39,436.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.