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Finding the Fourth Proportional to 105,493.82, 145,582.86 and 57,746.14

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Solution

The fourth proportional to 105,493.82, 145,582.86 and 57,746.14 is: 79,690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,493.82 : 145,582.86 = 57,746.14 : x
  2. Step 2: Convert to fraction form
    105,493.82/145,582.86 = 57,746.14/x
  3. Step 3: Cross multiply
    105,493.82x = 145,582.86 × 57,746.14
  4. Step 4: Simplify right side
    105,493.82x = 8,406,848,215.16
  5. Step 5: Solve for x
    x = 8,406,848,215.16/105,493.82
  6. Step 6: Final answer
    x = 79,690.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.