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Finding the Fourth Proportional to 77,315.38, 106,685.26 and 45,472.66

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Solution

The fourth proportional to 77,315.38, 106,685.26 and 45,472.66 is: 62,746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,315.38 : 106,685.26 = 45,472.66 : x
  2. Step 2: Convert to fraction form
    77,315.38/106,685.26 = 45,472.66/x
  3. Step 3: Cross multiply
    77,315.38x = 106,685.26 × 45,472.66
  4. Step 4: Simplify right side
    77,315.38x = 4,851,262,554.99
  5. Step 5: Solve for x
    x = 4,851,262,554.99/77,315.38
  6. Step 6: Final answer
    x = 62,746.41

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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.