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Finding the Fourth Proportional to 73,492.16, 110,235.80 and 31,939.20

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Solution

The fourth proportional to 73,492.16, 110,235.80 and 31,939.20 is: 47,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,492.16 : 110,235.80 = 31,939.20 : x
  2. Step 2: Convert to fraction form
    73,492.16/110,235.80 = 31,939.20/x
  3. Step 3: Cross multiply
    73,492.16x = 110,235.80 × 31,939.20
  4. Step 4: Simplify right side
    73,492.16x = 3,520,843,263.36
  5. Step 5: Solve for x
    x = 3,520,843,263.36/73,492.16
  6. Step 6: Final answer
    x = 47,907.74

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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.