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Finding the Fourth Proportional to 76,246.09, 105,217.32 and 42,712.09

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Solution

The fourth proportional to 76,246.09, 105,217.32 and 42,712.09 is: 58,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,246.09 : 105,217.32 = 42,712.09 : x
  2. Step 2: Convert to fraction form
    76,246.09/105,217.32 = 42,712.09/x
  3. Step 3: Cross multiply
    76,246.09x = 105,217.32 × 42,712.09
  4. Step 4: Simplify right side
    76,246.09x = 4,494,051,641.40
  5. Step 5: Solve for x
    x = 4,494,051,641.40/76,246.09
  6. Step 6: Final answer
    x = 58,941.40

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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.