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Finding the Fourth Proportional to 51,430.56, 70,980.74 and 28,770.81

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Solution

The fourth proportional to 51,430.56, 70,980.74 and 28,770.81 is: 39,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,430.56 : 70,980.74 = 28,770.81 : x
  2. Step 2: Convert to fraction form
    51,430.56/70,980.74 = 28,770.81/x
  3. Step 3: Cross multiply
    51,430.56x = 70,980.74 × 28,770.81
  4. Step 4: Simplify right side
    51,430.56x = 2,042,173,384.20
  5. Step 5: Solve for x
    x = 2,042,173,384.20/51,430.56
  6. Step 6: Final answer
    x = 39,707.39

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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.