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Finding the Fourth Proportional to 78,951.72, 108,951 and 47,141.88

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Solution

The fourth proportional to 78,951.72, 108,951 and 47,141.88 is: 65,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,951.72 : 108,951 = 47,141.88 : x
  2. Step 2: Convert to fraction form
    78,951.72/108,951 = 47,141.88/x
  3. Step 3: Cross multiply
    78,951.72x = 108,951 × 47,141.88
  4. Step 4: Simplify right side
    78,951.72x = 5,136,154,967.88
  5. Step 5: Solve for x
    x = 5,136,154,967.88/78,951.72
  6. Step 6: Final answer
    x = 65,054.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.