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Finding the Fourth Proportional to 92,492.63, 138,742.80 and 29,311.35

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Solution

The fourth proportional to 92,492.63, 138,742.80 and 29,311.35 is: 43,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,492.63 : 138,742.80 = 29,311.35 : x
  2. Step 2: Convert to fraction form
    92,492.63/138,742.80 = 29,311.35/x
  3. Step 3: Cross multiply
    92,492.63x = 138,742.80 × 29,311.35
  4. Step 4: Simplify right side
    92,492.63x = 4,066,738,770.78
  5. Step 5: Solve for x
    x = 4,066,738,770.78/92,492.63
  6. Step 6: Final answer
    x = 43,968.25

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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.