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Finding the Fourth Proportional to 48,003.84, 66,245.49 and 26,784

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Solution

The fourth proportional to 48,003.84, 66,245.49 and 26,784 is: 36,962.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,003.84 : 66,245.49 = 26,784 : x
  2. Step 2: Convert to fraction form
    48,003.84/66,245.49 = 26,784/x
  3. Step 3: Cross multiply
    48,003.84x = 66,245.49 × 26,784
  4. Step 4: Simplify right side
    48,003.84x = 1,774,319,204.16
  5. Step 5: Solve for x
    x = 1,774,319,204.16/48,003.84
  6. Step 6: Final answer
    x = 36,962.03

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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.