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Finding the Fourth Proportional to 67,782, 93,538.98 and 37,567.38

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Solution

The fourth proportional to 67,782, 93,538.98 and 37,567.38 is: 51,842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,782 : 93,538.98 = 37,567.38 : x
  2. Step 2: Convert to fraction form
    67,782/93,538.98 = 37,567.38/x
  3. Step 3: Cross multiply
    67,782x = 93,538.98 × 37,567.38
  4. Step 4: Simplify right side
    67,782x = 3,514,014,406.47
  5. Step 5: Solve for x
    x = 3,514,014,406.47/67,782
  6. Step 6: Final answer
    x = 51,842.88

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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.