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Finding the Fourth Proportional to 78,133.92, 117,044.16 and 35,955.24

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Solution

The fourth proportional to 78,133.92, 117,044.16 and 35,955.24 is: 53,860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,133.92 : 117,044.16 = 35,955.24 : x
  2. Step 2: Convert to fraction form
    78,133.92/117,044.16 = 35,955.24/x
  3. Step 3: Cross multiply
    78,133.92x = 117,044.16 × 35,955.24
  4. Step 4: Simplify right side
    78,133.92x = 4,208,350,863.40
  5. Step 5: Solve for x
    x = 4,208,350,863.40/78,133.92
  6. Step 6: Final answer
    x = 53,860.74

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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.