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Finding the Fourth Proportional to 49,527.36, 74,310 and 29,820

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Solution

The fourth proportional to 49,527.36, 74,310 and 29,820 is: 44,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,527.36 : 74,310 = 29,820 : x
  2. Step 2: Convert to fraction form
    49,527.36/74,310 = 29,820/x
  3. Step 3: Cross multiply
    49,527.36x = 74,310 × 29,820
  4. Step 4: Simplify right side
    49,527.36x = 2,215,924,200
  5. Step 5: Solve for x
    x = 2,215,924,200/49,527.36
  6. Step 6: Final answer
    x = 44,741.42

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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.