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Finding the Fourth Proportional to 67,782.72, 93,538.62 and 37,567.56

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Solution

The fourth proportional to 67,782.72, 93,538.62 and 37,567.56 is: 51,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,782.72 : 93,538.62 = 37,567.56 : x
  2. Step 2: Convert to fraction form
    67,782.72/93,538.62 = 37,567.56/x
  3. Step 3: Cross multiply
    67,782.72x = 93,538.62 × 37,567.56
  4. Step 4: Simplify right side
    67,782.72x = 3,514,017,719.17
  5. Step 5: Solve for x
    x = 3,514,017,719.17/67,782.72
  6. Step 6: Final answer
    x = 51,842.38

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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.