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Finding the Fourth Proportional to 53,967.50, 74,475.15 and 31,611.50

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Solution

The fourth proportional to 53,967.50, 74,475.15 and 31,611.50 is: 43,623.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,967.50 : 74,475.15 = 31,611.50 : x
  2. Step 2: Convert to fraction form
    53,967.50/74,475.15 = 31,611.50/x
  3. Step 3: Cross multiply
    53,967.50x = 74,475.15 × 31,611.50
  4. Step 4: Simplify right side
    53,967.50x = 2,354,271,204.23
  5. Step 5: Solve for x
    x = 2,354,271,204.23/53,967.50
  6. Step 6: Final answer
    x = 43,623.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.