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Finding the Fourth Proportional to 67,266, 92,829.96 and 37,458

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Solution

The fourth proportional to 67,266, 92,829.96 and 37,458 is: 51,693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,266 : 92,829.96 = 37,458 : x
  2. Step 2: Convert to fraction form
    67,266/92,829.96 = 37,458/x
  3. Step 3: Cross multiply
    67,266x = 92,829.96 × 37,458
  4. Step 4: Simplify right side
    67,266x = 3,477,224,641.68
  5. Step 5: Solve for x
    x = 3,477,224,641.68/67,266
  6. Step 6: Final answer
    x = 51,693.64

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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.