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Finding the Fourth Proportional to 51,908.10, 77,752.80 and 51,908.10

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Solution

The fourth proportional to 51,908.10, 77,752.80 and 51,908.10 is: 77,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,908.10 : 77,752.80 = 51,908.10 : x
  2. Step 2: Convert to fraction form
    51,908.10/77,752.80 = 51,908.10/x
  3. Step 3: Cross multiply
    51,908.10x = 77,752.80 × 51,908.10
  4. Step 4: Simplify right side
    51,908.10x = 4,036,000,117.68
  5. Step 5: Solve for x
    x = 4,036,000,117.68/51,908.10
  6. Step 6: Final answer
    x = 77,752.80

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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.