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Finding the Fourth Proportional to 35,473.89, 48,962.50 and 21,324

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Solution

The fourth proportional to 35,473.89, 48,962.50 and 21,324 is: 29,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,473.89 : 48,962.50 = 21,324 : x
  2. Step 2: Convert to fraction form
    35,473.89/48,962.50 = 21,324/x
  3. Step 3: Cross multiply
    35,473.89x = 48,962.50 × 21,324
  4. Step 4: Simplify right side
    35,473.89x = 1,044,076,350
  5. Step 5: Solve for x
    x = 1,044,076,350/35,473.89
  6. Step 6: Final answer
    x = 29,432.25

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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.