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Finding the Fourth Proportional to 43,338, 65,007.04 and 10,506

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Solution

The fourth proportional to 43,338, 65,007.04 and 10,506 is: 15,759.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,338 : 65,007.04 = 10,506 : x
  2. Step 2: Convert to fraction form
    43,338/65,007.04 = 10,506/x
  3. Step 3: Cross multiply
    43,338x = 65,007.04 × 10,506
  4. Step 4: Simplify right side
    43,338x = 682,963,962.24
  5. Step 5: Solve for x
    x = 682,963,962.24/43,338
  6. Step 6: Final answer
    x = 15,759.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.