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Finding the Fourth Proportional to 94,135.50, 141,220.65 and 30,959.10

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Solution

The fourth proportional to 94,135.50, 141,220.65 and 30,959.10 is: 46,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,135.50 : 141,220.65 = 30,959.10 : x
  2. Step 2: Convert to fraction form
    94,135.50/141,220.65 = 30,959.10/x
  3. Step 3: Cross multiply
    94,135.50x = 141,220.65 × 30,959.10
  4. Step 4: Simplify right side
    94,135.50x = 4,372,064,225.42
  5. Step 5: Solve for x
    x = 4,372,064,225.42/94,135.50
  6. Step 6: Final answer
    x = 46,444.37

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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.