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Finding the Fourth Proportional to 51,903.77, 77,855.71 and 14,463.95

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Solution

The fourth proportional to 51,903.77, 77,855.71 and 14,463.95 is: 21,695.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,903.77 : 77,855.71 = 14,463.95 : x
  2. Step 2: Convert to fraction form
    51,903.77/77,855.71 = 14,463.95/x
  3. Step 3: Cross multiply
    51,903.77x = 77,855.71 × 14,463.95
  4. Step 4: Simplify right side
    51,903.77x = 1,126,101,096.65
  5. Step 5: Solve for x
    x = 1,126,101,096.65/51,903.77
  6. Step 6: Final answer
    x = 21,695.94

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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.