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Finding the Fourth Proportional to 67,432.32, 92,983.68 and 45,936

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Solution

The fourth proportional to 67,432.32, 92,983.68 and 45,936 is: 63,342.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,432.32 : 92,983.68 = 45,936 : x
  2. Step 2: Convert to fraction form
    67,432.32/92,983.68 = 45,936/x
  3. Step 3: Cross multiply
    67,432.32x = 92,983.68 × 45,936
  4. Step 4: Simplify right side
    67,432.32x = 4,271,298,324.48
  5. Step 5: Solve for x
    x = 4,271,298,324.48/67,432.32
  6. Step 6: Final answer
    x = 63,342.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.