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Finding the Fourth Proportional to 51,102.32, 70,525.40 and 28,445.68

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Solution

The fourth proportional to 51,102.32, 70,525.40 and 28,445.68 is: 39,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,102.32 : 70,525.40 = 28,445.68 : x
  2. Step 2: Convert to fraction form
    51,102.32/70,525.40 = 28,445.68/x
  3. Step 3: Cross multiply
    51,102.32x = 70,525.40 × 28,445.68
  4. Step 4: Simplify right side
    51,102.32x = 2,006,142,960.27
  5. Step 5: Solve for x
    x = 2,006,142,960.27/51,102.32
  6. Step 6: Final answer
    x = 39,257.38

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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.