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Finding the Fourth Proportional to 73,968, 110,952 and 24,720

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Solution

The fourth proportional to 73,968, 110,952 and 24,720 is: 37,080

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,968 : 110,952 = 24,720 : x
  2. Step 2: Convert to fraction form
    73,968/110,952 = 24,720/x
  3. Step 3: Cross multiply
    73,968x = 110,952 × 24,720
  4. Step 4: Simplify right side
    73,968x = 2,742,733,440
  5. Step 5: Solve for x
    x = 2,742,733,440/73,968
  6. Step 6: Final answer
    x = 37,080

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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.