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Finding the Fourth Proportional to 51,903.62, 77,855.47 and 14,463.80

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Solution

The fourth proportional to 51,903.62, 77,855.47 and 14,463.80 is: 21,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,903.62 : 77,855.47 = 14,463.80 : x
  2. Step 2: Convert to fraction form
    51,903.62/77,855.47 = 14,463.80/x
  3. Step 3: Cross multiply
    51,903.62x = 77,855.47 × 14,463.80
  4. Step 4: Simplify right side
    51,903.62x = 1,126,085,557.71
  5. Step 5: Solve for x
    x = 1,126,085,557.71/51,903.62
  6. Step 6: Final answer
    x = 21,695.71

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1.5x scale

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.