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Finding the Fourth Proportional to 32,771.70, 49,159.38 and 9,397.50

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Solution

The fourth proportional to 32,771.70, 49,159.38 and 9,397.50 is: 14,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,771.70 : 49,159.38 = 9,397.50 : x
  2. Step 2: Convert to fraction form
    32,771.70/49,159.38 = 9,397.50/x
  3. Step 3: Cross multiply
    32,771.70x = 49,159.38 × 9,397.50
  4. Step 4: Simplify right side
    32,771.70x = 461,975,273.55
  5. Step 5: Solve for x
    x = 461,975,273.55/32,771.70
  6. Step 6: Final answer
    x = 14,096.77

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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.