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Finding the Fourth Proportional to 92,308.25, 138,475.74 and 29,106.92

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Solution

The fourth proportional to 92,308.25, 138,475.74 and 29,106.92 is: 43,664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,308.25 : 138,475.74 = 29,106.92 : x
  2. Step 2: Convert to fraction form
    92,308.25/138,475.74 = 29,106.92/x
  3. Step 3: Cross multiply
    92,308.25x = 138,475.74 × 29,106.92
  4. Step 4: Simplify right side
    92,308.25x = 4,030,602,286.12
  5. Step 5: Solve for x
    x = 4,030,602,286.12/92,308.25
  6. Step 6: Final answer
    x = 43,664.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.