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Finding the Fourth Proportional to 71,543.84, 107,242.80 and 32,090.40

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Solution

The fourth proportional to 71,543.84, 107,242.80 and 32,090.40 is: 48,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,543.84 : 107,242.80 = 32,090.40 : x
  2. Step 2: Convert to fraction form
    71,543.84/107,242.80 = 32,090.40/x
  3. Step 3: Cross multiply
    71,543.84x = 107,242.80 × 32,090.40
  4. Step 4: Simplify right side
    71,543.84x = 3,441,464,349.12
  5. Step 5: Solve for x
    x = 3,441,464,349.12/71,543.84
  6. Step 6: Final answer
    x = 48,102.87

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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.