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Finding the Fourth Proportional to 73,293.12, 109,913.16 and 31,176

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Solution

The fourth proportional to 73,293.12, 109,913.16 and 31,176 is: 46,752.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,293.12 : 109,913.16 = 31,176 : x
  2. Step 2: Convert to fraction form
    73,293.12/109,913.16 = 31,176/x
  3. Step 3: Cross multiply
    73,293.12x = 109,913.16 × 31,176
  4. Step 4: Simplify right side
    73,293.12x = 3,426,652,676.16
  5. Step 5: Solve for x
    x = 3,426,652,676.16/73,293.12
  6. Step 6: Final answer
    x = 46,752.72

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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.