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Finding the Fourth Proportional to 94,324, 141,486.96 and 28,660

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Solution

The fourth proportional to 94,324, 141,486.96 and 28,660 is: 42,990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,324 : 141,486.96 = 28,660 : x
  2. Step 2: Convert to fraction form
    94,324/141,486.96 = 28,660/x
  3. Step 3: Cross multiply
    94,324x = 141,486.96 × 28,660
  4. Step 4: Simplify right side
    94,324x = 4,055,016,273.60
  5. Step 5: Solve for x
    x = 4,055,016,273.60/94,324
  6. Step 6: Final answer
    x = 42,990.29

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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.