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Finding the Fourth Proportional to 78,073.63, 117,092.93 and 35,913.22

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Solution

The fourth proportional to 78,073.63, 117,092.93 and 35,913.22 is: 53,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,073.63 : 117,092.93 = 35,913.22 : x
  2. Step 2: Convert to fraction form
    78,073.63/117,092.93 = 35,913.22/x
  3. Step 3: Cross multiply
    78,073.63x = 117,092.93 × 35,913.22
  4. Step 4: Simplify right side
    78,073.63x = 4,205,184,155.53
  5. Step 5: Solve for x
    x = 4,205,184,155.53/78,073.63
  6. Step 6: Final answer
    x = 53,861.77

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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.