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Finding the Fourth Proportional to 49,774.88, 74,682.48 and 48,988.64

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Solution

The fourth proportional to 49,774.88, 74,682.48 and 48,988.64 is: 73,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,774.88 : 74,682.48 = 48,988.64 : x
  2. Step 2: Convert to fraction form
    49,774.88/74,682.48 = 48,988.64/x
  3. Step 3: Cross multiply
    49,774.88x = 74,682.48 × 48,988.64
  4. Step 4: Simplify right side
    49,774.88x = 3,658,593,127.03
  5. Step 5: Solve for x
    x = 3,658,593,127.03/49,774.88
  6. Step 6: Final answer
    x = 73,502.80

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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.