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Finding the Fourth Proportional to 52,389.87, 78,589.47 and 14,949.24

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Solution

The fourth proportional to 52,389.87, 78,589.47 and 14,949.24 is: 22,425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,389.87 : 78,589.47 = 14,949.24 : x
  2. Step 2: Convert to fraction form
    52,389.87/78,589.47 = 14,949.24/x
  3. Step 3: Cross multiply
    52,389.87x = 78,589.47 × 14,949.24
  4. Step 4: Simplify right side
    52,389.87x = 1,174,852,848.50
  5. Step 5: Solve for x
    x = 1,174,852,848.50/52,389.87
  6. Step 6: Final answer
    x = 22,425.19

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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.