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Finding the Fourth Proportional to 78,008.92, 116,907.32 and 32,992.84

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Solution

The fourth proportional to 78,008.92, 116,907.32 and 32,992.84 is: 49,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,008.92 : 116,907.32 = 32,992.84 : x
  2. Step 2: Convert to fraction form
    78,008.92/116,907.32 = 32,992.84/x
  3. Step 3: Cross multiply
    78,008.92x = 116,907.32 × 32,992.84
  4. Step 4: Simplify right side
    78,008.92x = 3,857,104,503.59
  5. Step 5: Solve for x
    x = 3,857,104,503.59/78,008.92
  6. Step 6: Final answer
    x = 49,444.40

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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.