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Finding the Fourth Proportional to 52,246, 78,292.18 and 30,876.72

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Solution

The fourth proportional to 52,246, 78,292.18 and 30,876.72 is: 46,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,246 : 78,292.18 = 30,876.72 : x
  2. Step 2: Convert to fraction form
    52,246/78,292.18 = 30,876.72/x
  3. Step 3: Cross multiply
    52,246x = 78,292.18 × 30,876.72
  4. Step 4: Simplify right side
    52,246x = 2,417,405,720.05
  5. Step 5: Solve for x
    x = 2,417,405,720.05/52,246
  6. Step 6: Final answer
    x = 46,269.68

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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.