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Finding the Fourth Proportional to 52,392.52, 78,588.84 and 12,949

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Solution

The fourth proportional to 52,392.52, 78,588.84 and 12,949 is: 19,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,392.52 : 78,588.84 = 12,949 : x
  2. Step 2: Convert to fraction form
    52,392.52/78,588.84 = 12,949/x
  3. Step 3: Cross multiply
    52,392.52x = 78,588.84 × 12,949
  4. Step 4: Simplify right side
    52,392.52x = 1,017,646,889.16
  5. Step 5: Solve for x
    x = 1,017,646,889.16/52,392.52
  6. Step 6: Final answer
    x = 19,423.51

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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.