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Finding the Fourth Proportional to 73,622.16, 110,374.74 and 32,040

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Solution

The fourth proportional to 73,622.16, 110,374.74 and 32,040 is: 48,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,622.16 : 110,374.74 = 32,040 : x
  2. Step 2: Convert to fraction form
    73,622.16/110,374.74 = 32,040/x
  3. Step 3: Cross multiply
    73,622.16x = 110,374.74 × 32,040
  4. Step 4: Simplify right side
    73,622.16x = 3,536,406,669.60
  5. Step 5: Solve for x
    x = 3,536,406,669.60/73,622.16
  6. Step 6: Final answer
    x = 48,034.54

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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.