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Finding the Fourth Proportional to 51,798.74, 77,829.45 and 48,315.92

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Solution

The fourth proportional to 51,798.74, 77,829.45 and 48,315.92 is: 72,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,798.74 : 77,829.45 = 48,315.92 : x
  2. Step 2: Convert to fraction form
    51,798.74/77,829.45 = 48,315.92/x
  3. Step 3: Cross multiply
    51,798.74x = 77,829.45 × 48,315.92
  4. Step 4: Simplify right side
    51,798.74x = 3,760,401,479.84
  5. Step 5: Solve for x
    x = 3,760,401,479.84/51,798.74
  6. Step 6: Final answer
    x = 72,596.39

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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.