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Finding the Fourth Proportional to 52,497.54, 78,746.04 and 43,713.90

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Solution

The fourth proportional to 52,497.54, 78,746.04 and 43,713.90 is: 65,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,497.54 : 78,746.04 = 43,713.90 : x
  2. Step 2: Convert to fraction form
    52,497.54/78,746.04 = 43,713.90/x
  3. Step 3: Cross multiply
    52,497.54x = 78,746.04 × 43,713.90
  4. Step 4: Simplify right side
    52,497.54x = 3,442,296,517.96
  5. Step 5: Solve for x
    x = 3,442,296,517.96/52,497.54
  6. Step 6: Final answer
    x = 65,570.63

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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.