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Finding the Fourth Proportional to 51,830.43, 77,762.07 and 18,549.75

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Solution

The fourth proportional to 51,830.43, 77,762.07 and 18,549.75 is: 27,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,830.43 : 77,762.07 = 18,549.75 : x
  2. Step 2: Convert to fraction form
    51,830.43/77,762.07 = 18,549.75/x
  3. Step 3: Cross multiply
    51,830.43x = 77,762.07 × 18,549.75
  4. Step 4: Simplify right side
    51,830.43x = 1,442,466,957.98
  5. Step 5: Solve for x
    x = 1,442,466,957.98/51,830.43
  6. Step 6: Final answer
    x = 27,830.50

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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.