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Finding the Fourth Proportional to 78,216.84, 117,324.05 and 31,468.50

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Solution

The fourth proportional to 78,216.84, 117,324.05 and 31,468.50 is: 47,202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,216.84 : 117,324.05 = 31,468.50 : x
  2. Step 2: Convert to fraction form
    78,216.84/117,324.05 = 31,468.50/x
  3. Step 3: Cross multiply
    78,216.84x = 117,324.05 × 31,468.50
  4. Step 4: Simplify right side
    78,216.84x = 3,692,011,710.08
  5. Step 5: Solve for x
    x = 3,692,011,710.08/78,216.84
  6. Step 6: Final answer
    x = 47,202.26

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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.