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Finding the Fourth Proportional to 31,854.77, 47,784.41 and 9,669.95

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Solution

The fourth proportional to 31,854.77, 47,784.41 and 9,669.95 is: 14,505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.77 : 47,784.41 = 9,669.95 : x
  2. Step 2: Convert to fraction form
    31,854.77/47,784.41 = 9,669.95/x
  3. Step 3: Cross multiply
    31,854.77x = 47,784.41 × 9,669.95
  4. Step 4: Simplify right side
    31,854.77x = 462,072,855.48
  5. Step 5: Solve for x
    x = 462,072,855.48/31,854.77
  6. Step 6: Final answer
    x = 14,505.61

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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.