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Finding the Fourth Proportional to 75,197.51, 112,821.40 and 24,598.85

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Solution

The fourth proportional to 75,197.51, 112,821.40 and 24,598.85 is: 36,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,197.51 : 112,821.40 = 24,598.85 : x
  2. Step 2: Convert to fraction form
    75,197.51/112,821.40 = 24,598.85/x
  3. Step 3: Cross multiply
    75,197.51x = 112,821.40 × 24,598.85
  4. Step 4: Simplify right side
    75,197.51x = 2,775,276,008.29
  5. Step 5: Solve for x
    x = 2,775,276,008.29/75,197.51
  6. Step 6: Final answer
    x = 36,906.49

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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.