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Finding the Fourth Proportional to 105,486.30, 145,565.46 and 57,730.42

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Solution

The fourth proportional to 105,486.30, 145,565.46 and 57,730.42 is: 79,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,486.30 : 145,565.46 = 57,730.42 : x
  2. Step 2: Convert to fraction form
    105,486.30/145,565.46 = 57,730.42/x
  3. Step 3: Cross multiply
    105,486.30x = 145,565.46 × 57,730.42
  4. Step 4: Simplify right side
    105,486.30x = 8,403,555,143.29
  5. Step 5: Solve for x
    x = 8,403,555,143.29/105,486.30
  6. Step 6: Final answer
    x = 79,664.90

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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.