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Finding the Fourth Proportional to 44,549.84, 66,788.04 and 36,209

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Solution

The fourth proportional to 44,549.84, 66,788.04 and 36,209 is: 54,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,549.84 : 66,788.04 = 36,209 : x
  2. Step 2: Convert to fraction form
    44,549.84/66,788.04 = 36,209/x
  3. Step 3: Cross multiply
    44,549.84x = 66,788.04 × 36,209
  4. Step 4: Simplify right side
    44,549.84x = 2,418,328,140.36
  5. Step 5: Solve for x
    x = 2,418,328,140.36/44,549.84
  6. Step 6: Final answer
    x = 54,283.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.