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Finding the Fourth Proportional to 51,883.48, 77,830.80 and 14,443.68

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Solution

The fourth proportional to 51,883.48, 77,830.80 and 14,443.68 is: 21,667.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,883.48 : 77,830.80 = 14,443.68 : x
  2. Step 2: Convert to fraction form
    51,883.48/77,830.80 = 14,443.68/x
  3. Step 3: Cross multiply
    51,883.48x = 77,830.80 × 14,443.68
  4. Step 4: Simplify right side
    51,883.48x = 1,124,163,169.34
  5. Step 5: Solve for x
    x = 1,124,163,169.34/51,883.48
  6. Step 6: Final answer
    x = 21,667.07

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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.