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Finding the Fourth Proportional to 102,094.22, 153,141.34 and 31,979

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Solution

The fourth proportional to 102,094.22, 153,141.34 and 31,979 is: 47,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,094.22 : 153,141.34 = 31,979 : x
  2. Step 2: Convert to fraction form
    102,094.22/153,141.34 = 31,979/x
  3. Step 3: Cross multiply
    102,094.22x = 153,141.34 × 31,979
  4. Step 4: Simplify right side
    102,094.22x = 4,897,306,911.86
  5. Step 5: Solve for x
    x = 4,897,306,911.86/102,094.22
  6. Step 6: Final answer
    x = 47,968.50

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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.