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Finding the Fourth Proportional to 117,083.84, 175,633.98 and 46,963.16

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Solution

The fourth proportional to 117,083.84, 175,633.98 and 46,963.16 is: 70,448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,083.84 : 175,633.98 = 46,963.16 : x
  2. Step 2: Convert to fraction form
    117,083.84/175,633.98 = 46,963.16/x
  3. Step 3: Cross multiply
    117,083.84x = 175,633.98 × 46,963.16
  4. Step 4: Simplify right side
    117,083.84x = 8,248,326,704.18
  5. Step 5: Solve for x
    x = 8,248,326,704.18/117,083.84
  6. Step 6: Final answer
    x = 70,448.04

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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.