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Finding the Fourth Proportional to 117,877.94, 176,752.29 and 46,728.50

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Solution

The fourth proportional to 117,877.94, 176,752.29 and 46,728.50 is: 70,067.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,877.94 : 176,752.29 = 46,728.50 : x
  2. Step 2: Convert to fraction form
    117,877.94/176,752.29 = 46,728.50/x
  3. Step 3: Cross multiply
    117,877.94x = 176,752.29 × 46,728.50
  4. Step 4: Simplify right side
    117,877.94x = 8,259,369,383.27
  5. Step 5: Solve for x
    x = 8,259,369,383.27/117,877.94
  6. Step 6: Final answer
    x = 70,067.13

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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.