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Finding the Fourth Proportional to 75,235.68, 103,821.24 and 43,402.68

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Solution

The fourth proportional to 75,235.68, 103,821.24 and 43,402.68 is: 59,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,235.68 : 103,821.24 = 43,402.68 : x
  2. Step 2: Convert to fraction form
    75,235.68/103,821.24 = 43,402.68/x
  3. Step 3: Cross multiply
    75,235.68x = 103,821.24 × 43,402.68
  4. Step 4: Simplify right side
    75,235.68x = 4,506,120,056.92
  5. Step 5: Solve for x
    x = 4,506,120,056.92/75,235.68
  6. Step 6: Final answer
    x = 59,893.39

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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.