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Finding the Fourth Proportional to 75,803.10, 113,656.02 and 31,460.46

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Solution

The fourth proportional to 75,803.10, 113,656.02 and 31,460.46 is: 47,170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,803.10 : 113,656.02 = 31,460.46 : x
  2. Step 2: Convert to fraction form
    75,803.10/113,656.02 = 31,460.46/x
  3. Step 3: Cross multiply
    75,803.10x = 113,656.02 × 31,460.46
  4. Step 4: Simplify right side
    75,803.10x = 3,575,670,670.97
  5. Step 5: Solve for x
    x = 3,575,670,670.97/75,803.10
  6. Step 6: Final answer
    x = 47,170.51

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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.