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Finding the Fourth Proportional to 52,443.52, 78,664.37 and 13,000.50

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Solution

The fourth proportional to 52,443.52, 78,664.37 and 13,000.50 is: 19,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,443.52 : 78,664.37 = 13,000.50 : x
  2. Step 2: Convert to fraction form
    52,443.52/78,664.37 = 13,000.50/x
  3. Step 3: Cross multiply
    52,443.52x = 78,664.37 × 13,000.50
  4. Step 4: Simplify right side
    52,443.52x = 1,022,676,077.18
  5. Step 5: Solve for x
    x = 1,022,676,077.18/52,443.52
  6. Step 6: Final answer
    x = 19,500.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.