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Finding the Fourth Proportional to 94,967.92, 142,459.37 and 31,788.41

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Solution

The fourth proportional to 94,967.92, 142,459.37 and 31,788.41 is: 47,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,967.92 : 142,459.37 = 31,788.41 : x
  2. Step 2: Convert to fraction form
    94,967.92/142,459.37 = 31,788.41/x
  3. Step 3: Cross multiply
    94,967.92x = 142,459.37 × 31,788.41
  4. Step 4: Simplify right side
    94,967.92x = 4,528,556,702.96
  5. Step 5: Solve for x
    x = 4,528,556,702.96/94,967.92
  6. Step 6: Final answer
    x = 47,685.12

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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.