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Finding the Fourth Proportional to 51,129.70, 70,567.59 and 32,975.31

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Solution

The fourth proportional to 51,129.70, 70,567.59 and 32,975.31 is: 45,511.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,129.70 : 70,567.59 = 32,975.31 : x
  2. Step 2: Convert to fraction form
    51,129.70/70,567.59 = 32,975.31/x
  3. Step 3: Cross multiply
    51,129.70x = 70,567.59 × 32,975.31
  4. Step 4: Simplify right side
    51,129.70x = 2,326,988,156.20
  5. Step 5: Solve for x
    x = 2,326,988,156.20/51,129.70
  6. Step 6: Final answer
    x = 45,511.48

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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.