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Finding the Fourth Proportional to 78,894.30, 118,341.45 and 49,403.10

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Solution

The fourth proportional to 78,894.30, 118,341.45 and 49,403.10 is: 74,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,894.30 : 118,341.45 = 49,403.10 : x
  2. Step 2: Convert to fraction form
    78,894.30/118,341.45 = 49,403.10/x
  3. Step 3: Cross multiply
    78,894.30x = 118,341.45 × 49,403.10
  4. Step 4: Simplify right side
    78,894.30x = 5,846,434,488.50
  5. Step 5: Solve for x
    x = 5,846,434,488.50/78,894.30
  6. Step 6: Final answer
    x = 74,104.65

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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.