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Finding the Fourth Proportional to 51,106.28, 70,525.86 and 28,445

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Solution

The fourth proportional to 51,106.28, 70,525.86 and 28,445 is: 39,253.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,106.28 : 70,525.86 = 28,445 : x
  2. Step 2: Convert to fraction form
    51,106.28/70,525.86 = 28,445/x
  3. Step 3: Cross multiply
    51,106.28x = 70,525.86 × 28,445
  4. Step 4: Simplify right side
    51,106.28x = 2,006,108,087.70
  5. Step 5: Solve for x
    x = 2,006,108,087.70/51,106.28
  6. Step 6: Final answer
    x = 39,253.65

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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.