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Finding the Fourth Proportional to 75,208.50, 112,814.19 and 35,205.30

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Solution

The fourth proportional to 75,208.50, 112,814.19 and 35,205.30 is: 52,808.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,208.50 : 112,814.19 = 35,205.30 : x
  2. Step 2: Convert to fraction form
    75,208.50/112,814.19 = 35,205.30/x
  3. Step 3: Cross multiply
    75,208.50x = 112,814.19 × 35,205.30
  4. Step 4: Simplify right side
    75,208.50x = 3,971,657,403.21
  5. Step 5: Solve for x
    x = 3,971,657,403.21/75,208.50
  6. Step 6: Final answer
    x = 52,808.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.