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Finding the Fourth Proportional to 78,674.28, 118,026 and 34,292.76

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Solution

The fourth proportional to 78,674.28, 118,026 and 34,292.76 is: 51,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,674.28 : 118,026 = 34,292.76 : x
  2. Step 2: Convert to fraction form
    78,674.28/118,026 = 34,292.76/x
  3. Step 3: Cross multiply
    78,674.28x = 118,026 × 34,292.76
  4. Step 4: Simplify right side
    78,674.28x = 4,047,437,291.76
  5. Step 5: Solve for x
    x = 4,047,437,291.76/78,674.28
  6. Step 6: Final answer
    x = 51,445.50

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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.