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Finding the Fourth Proportional to 78,838.75, 118,258.17 and 23,434.75

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Solution

The fourth proportional to 78,838.75, 118,258.17 and 23,434.75 is: 35,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,838.75 : 118,258.17 = 23,434.75 : x
  2. Step 2: Convert to fraction form
    78,838.75/118,258.17 = 23,434.75/x
  3. Step 3: Cross multiply
    78,838.75x = 118,258.17 × 23,434.75
  4. Step 4: Simplify right side
    78,838.75x = 2,771,350,649.41
  5. Step 5: Solve for x
    x = 2,771,350,649.41/78,838.75
  6. Step 6: Final answer
    x = 35,152.14

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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.