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Finding the Fourth Proportional to 78,350, 117,525 and 22,946.48

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Solution

The fourth proportional to 78,350, 117,525 and 22,946.48 is: 34,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,350 : 117,525 = 22,946.48 : x
  2. Step 2: Convert to fraction form
    78,350/117,525 = 22,946.48/x
  3. Step 3: Cross multiply
    78,350x = 117,525 × 22,946.48
  4. Step 4: Simplify right side
    78,350x = 2,696,785,062
  5. Step 5: Solve for x
    x = 2,696,785,062/78,350
  6. Step 6: Final answer
    x = 34,419.72

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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.