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Finding the Fourth Proportional to 75,670.50, 113,495.58 and 31,291.14

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Solution

The fourth proportional to 75,670.50, 113,495.58 and 31,291.14 is: 46,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,670.50 : 113,495.58 = 31,291.14 : x
  2. Step 2: Convert to fraction form
    75,670.50/113,495.58 = 31,291.14/x
  3. Step 3: Cross multiply
    75,670.50x = 113,495.58 × 31,291.14
  4. Step 4: Simplify right side
    75,670.50x = 3,551,406,083.16
  5. Step 5: Solve for x
    x = 3,551,406,083.16/75,670.50
  6. Step 6: Final answer
    x = 46,932.50

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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.