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Finding the Fourth Proportional to 51,231.76, 70,700.38 and 28,875.76

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Solution

The fourth proportional to 51,231.76, 70,700.38 and 28,875.76 is: 39,848.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,231.76 : 70,700.38 = 28,875.76 : x
  2. Step 2: Convert to fraction form
    51,231.76/70,700.38 = 28,875.76/x
  3. Step 3: Cross multiply
    51,231.76x = 70,700.38 × 28,875.76
  4. Step 4: Simplify right side
    51,231.76x = 2,041,527,204.79
  5. Step 5: Solve for x
    x = 2,041,527,204.79/51,231.76
  6. Step 6: Final answer
    x = 39,848.86

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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.