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Finding the Fourth Proportional to 50,931.84, 76,405.86 and 17,661.90

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Solution

The fourth proportional to 50,931.84, 76,405.86 and 17,661.90 is: 26,495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,931.84 : 76,405.86 = 17,661.90 : x
  2. Step 2: Convert to fraction form
    50,931.84/76,405.86 = 17,661.90/x
  3. Step 3: Cross multiply
    50,931.84x = 76,405.86 × 17,661.90
  4. Step 4: Simplify right side
    50,931.84x = 1,349,472,658.73
  5. Step 5: Solve for x
    x = 1,349,472,658.73/50,931.84
  6. Step 6: Final answer
    x = 26,495.66

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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.