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Finding the Fourth Proportional to 52,784, 79,182.48 and 15,848

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Solution

The fourth proportional to 52,784, 79,182.48 and 15,848 is: 23,773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,784 : 79,182.48 = 15,848 : x
  2. Step 2: Convert to fraction form
    52,784/79,182.48 = 15,848/x
  3. Step 3: Cross multiply
    52,784x = 79,182.48 × 15,848
  4. Step 4: Simplify right side
    52,784x = 1,254,883,943.04
  5. Step 5: Solve for x
    x = 1,254,883,943.04/52,784
  6. Step 6: Final answer
    x = 23,773.95

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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.