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Finding the Fourth Proportional to 78,223.92, 117,324 and 25,632.24

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Solution

The fourth proportional to 78,223.92, 117,324 and 25,632.24 is: 38,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,223.92 : 117,324 = 25,632.24 : x
  2. Step 2: Convert to fraction form
    78,223.92/117,324 = 25,632.24/x
  3. Step 3: Cross multiply
    78,223.92x = 117,324 × 25,632.24
  4. Step 4: Simplify right side
    78,223.92x = 3,007,276,925.76
  5. Step 5: Solve for x
    x = 3,007,276,925.76/78,223.92
  6. Step 6: Final answer
    x = 38,444.47

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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.