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Finding the Fourth Proportional to 51,752.05, 77,628.08 and 51,752.05

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Solution

The fourth proportional to 51,752.05, 77,628.08 and 51,752.05 is: 77,628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,752.05 : 77,628.08 = 51,752.05 : x
  2. Step 2: Convert to fraction form
    51,752.05/77,628.08 = 51,752.05/x
  3. Step 3: Cross multiply
    51,752.05x = 77,628.08 × 51,752.05
  4. Step 4: Simplify right side
    51,752.05x = 4,017,412,018.80
  5. Step 5: Solve for x
    x = 4,017,412,018.80/51,752.05
  6. Step 6: Final answer
    x = 77,628.08

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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.