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Finding the Fourth Proportional to 51,903.96, 77,855.99 and 14,464.14

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Solution

The fourth proportional to 51,903.96, 77,855.99 and 14,464.14 is: 21,696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,903.96 : 77,855.99 = 14,464.14 : x
  2. Step 2: Convert to fraction form
    51,903.96/77,855.99 = 14,464.14/x
  3. Step 3: Cross multiply
    51,903.96x = 77,855.99 × 14,464.14
  4. Step 4: Simplify right side
    51,903.96x = 1,126,119,574.92
  5. Step 5: Solve for x
    x = 1,126,119,574.92/51,903.96
  6. Step 6: Final answer
    x = 21,696.22

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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.