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Finding the Fourth Proportional to 92,671.50, 139,008.47 and 30,342

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Solution

The fourth proportional to 92,671.50, 139,008.47 and 30,342 is: 45,513.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,671.50 : 139,008.47 = 30,342 : x
  2. Step 2: Convert to fraction form
    92,671.50/139,008.47 = 30,342/x
  3. Step 3: Cross multiply
    92,671.50x = 139,008.47 × 30,342
  4. Step 4: Simplify right side
    92,671.50x = 4,217,794,845.03
  5. Step 5: Solve for x
    x = 4,217,794,845.03/92,671.50
  6. Step 6: Final answer
    x = 45,513.40

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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.