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Finding the Fourth Proportional to 48,936, 67,537.44 and 29,064

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Solution

The fourth proportional to 48,936, 67,537.44 and 29,064 is: 40,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,936 : 67,537.44 = 29,064 : x
  2. Step 2: Convert to fraction form
    48,936/67,537.44 = 29,064/x
  3. Step 3: Cross multiply
    48,936x = 67,537.44 × 29,064
  4. Step 4: Simplify right side
    48,936x = 1,962,908,156.16
  5. Step 5: Solve for x
    x = 1,962,908,156.16/48,936
  6. Step 6: Final answer
    x = 40,111.74

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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.