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Finding the Fourth Proportional to 44,205.84, 66,326.04 and 16,506

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Solution

The fourth proportional to 44,205.84, 66,326.04 and 16,506 is: 24,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,205.84 : 66,326.04 = 16,506 : x
  2. Step 2: Convert to fraction form
    44,205.84/66,326.04 = 16,506/x
  3. Step 3: Cross multiply
    44,205.84x = 66,326.04 × 16,506
  4. Step 4: Simplify right side
    44,205.84x = 1,094,777,616.24
  5. Step 5: Solve for x
    x = 1,094,777,616.24/44,205.84
  6. Step 6: Final answer
    x = 24,765.45

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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.