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Finding the Fourth Proportional to 75,770.72, 104,543.09 and 43,064.68

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Solution

The fourth proportional to 75,770.72, 104,543.09 and 43,064.68 is: 59,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,770.72 : 104,543.09 = 43,064.68 : x
  2. Step 2: Convert to fraction form
    75,770.72/104,543.09 = 43,064.68/x
  3. Step 3: Cross multiply
    75,770.72x = 104,543.09 × 43,064.68
  4. Step 4: Simplify right side
    75,770.72x = 4,502,114,240.38
  5. Step 5: Solve for x
    x = 4,502,114,240.38/75,770.72
  6. Step 6: Final answer
    x = 59,417.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.