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Finding the Fourth Proportional to 92,308.56, 138,462.84 and 29,133.60

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Solution

The fourth proportional to 92,308.56, 138,462.84 and 29,133.60 is: 43,700.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,308.56 : 138,462.84 = 29,133.60 : x
  2. Step 2: Convert to fraction form
    92,308.56/138,462.84 = 29,133.60/x
  3. Step 3: Cross multiply
    92,308.56x = 138,462.84 × 29,133.60
  4. Step 4: Simplify right side
    92,308.56x = 4,033,920,947.55
  5. Step 5: Solve for x
    x = 4,033,920,947.55/92,308.56
  6. Step 6: Final answer
    x = 43,700.40

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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.