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Finding the Fourth Proportional to 38,597.32, 57,893.74 and 14,900.23

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Solution

The fourth proportional to 38,597.32, 57,893.74 and 14,900.23 is: 22,349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,597.32 : 57,893.74 = 14,900.23 : x
  2. Step 2: Convert to fraction form
    38,597.32/57,893.74 = 14,900.23/x
  3. Step 3: Cross multiply
    38,597.32x = 57,893.74 × 14,900.23
  4. Step 4: Simplify right side
    38,597.32x = 862,630,041.56
  5. Step 5: Solve for x
    x = 862,630,041.56/38,597.32
  6. Step 6: Final answer
    x = 22,349.48

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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.