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Finding the Fourth Proportional to 77,709.72, 107,239.56 and 45,880.65

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Solution

The fourth proportional to 77,709.72, 107,239.56 and 45,880.65 is: 63,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,709.72 : 107,239.56 = 45,880.65 : x
  2. Step 2: Convert to fraction form
    77,709.72/107,239.56 = 45,880.65/x
  3. Step 3: Cross multiply
    77,709.72x = 107,239.56 × 45,880.65
  4. Step 4: Simplify right side
    77,709.72x = 4,920,220,718.51
  5. Step 5: Solve for x
    x = 4,920,220,718.51/77,709.72
  6. Step 6: Final answer
    x = 63,315.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.