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Finding the Fourth Proportional to 75,099.63, 112,671.92 and 43,502.34

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Solution

The fourth proportional to 75,099.63, 112,671.92 and 43,502.34 is: 65,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,099.63 : 112,671.92 = 43,502.34 : x
  2. Step 2: Convert to fraction form
    75,099.63/112,671.92 = 43,502.34/x
  3. Step 3: Cross multiply
    75,099.63x = 112,671.92 × 43,502.34
  4. Step 4: Simplify right side
    75,099.63x = 4,901,492,172.29
  5. Step 5: Solve for x
    x = 4,901,492,172.29/75,099.63
  6. Step 6: Final answer
    x = 65,266.53

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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.