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Finding the Fourth Proportional to 43,378, 59,862 and 23,506

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Solution

The fourth proportional to 43,378, 59,862 and 23,506 is: 32,438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,378 : 59,862 = 23,506 : x
  2. Step 2: Convert to fraction form
    43,378/59,862 = 23,506/x
  3. Step 3: Cross multiply
    43,378x = 59,862 × 23,506
  4. Step 4: Simplify right side
    43,378x = 1,407,116,172
  5. Step 5: Solve for x
    x = 1,407,116,172/43,378
  6. Step 6: Final answer
    x = 32,438.48

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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.