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Finding the Fourth Proportional to 48,721, 67,235.16 and 26,365

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Solution

The fourth proportional to 48,721, 67,235.16 and 26,365 is: 36,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,721 : 67,235.16 = 26,365 : x
  2. Step 2: Convert to fraction form
    48,721/67,235.16 = 26,365/x
  3. Step 3: Cross multiply
    48,721x = 67,235.16 × 26,365
  4. Step 4: Simplify right side
    48,721x = 1,772,654,993.40
  5. Step 5: Solve for x
    x = 1,772,654,993.40/48,721
  6. Step 6: Final answer
    x = 36,383.80

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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.