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Finding the Fourth Proportional to 97,893.79, 146,859.06 and 31,316.04

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Solution

The fourth proportional to 97,893.79, 146,859.06 and 31,316.04 is: 46,979.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,893.79 : 146,859.06 = 31,316.04 : x
  2. Step 2: Convert to fraction form
    97,893.79/146,859.06 = 31,316.04/x
  3. Step 3: Cross multiply
    97,893.79x = 146,859.06 × 31,316.04
  4. Step 4: Simplify right side
    97,893.79x = 4,599,044,197.32
  5. Step 5: Solve for x
    x = 4,599,044,197.32/97,893.79
  6. Step 6: Final answer
    x = 46,979.94

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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.