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Finding the Fourth Proportional to 43,968, 65,962.24 and 14,784

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Solution

The fourth proportional to 43,968, 65,962.24 and 14,784 is: 22,179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,968 : 65,962.24 = 14,784 : x
  2. Step 2: Convert to fraction form
    43,968/65,962.24 = 14,784/x
  3. Step 3: Cross multiply
    43,968x = 65,962.24 × 14,784
  4. Step 4: Simplify right side
    43,968x = 975,185,756.16
  5. Step 5: Solve for x
    x = 975,185,756.16/43,968
  6. Step 6: Final answer
    x = 22,179.44

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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.