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Finding the Fourth Proportional to 40,972, 61,459.44 and 23,433.76

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Solution

The fourth proportional to 40,972, 61,459.44 and 23,433.76 is: 35,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,972 : 61,459.44 = 23,433.76 : x
  2. Step 2: Convert to fraction form
    40,972/61,459.44 = 23,433.76/x
  3. Step 3: Cross multiply
    40,972x = 61,459.44 × 23,433.76
  4. Step 4: Simplify right side
    40,972x = 1,440,225,766.69
  5. Step 5: Solve for x
    x = 1,440,225,766.69/40,972
  6. Step 6: Final answer
    x = 35,151.46

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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.