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Finding the Fourth Proportional to 43,712, 60,322.62 and 23,840

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Solution

The fourth proportional to 43,712, 60,322.62 and 23,840 is: 32,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,712 : 60,322.62 = 23,840 : x
  2. Step 2: Convert to fraction form
    43,712/60,322.62 = 23,840/x
  3. Step 3: Cross multiply
    43,712x = 60,322.62 × 23,840
  4. Step 4: Simplify right side
    43,712x = 1,438,091,260.80
  5. Step 5: Solve for x
    x = 1,438,091,260.80/43,712
  6. Step 6: Final answer
    x = 32,899.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.