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Finding the Fourth Proportional to 117,643.68, 176,495.22 and 34,537.68

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Solution

The fourth proportional to 117,643.68, 176,495.22 and 34,537.68 is: 51,815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,643.68 : 176,495.22 = 34,537.68 : x
  2. Step 2: Convert to fraction form
    117,643.68/176,495.22 = 34,537.68/x
  3. Step 3: Cross multiply
    117,643.68x = 176,495.22 × 34,537.68
  4. Step 4: Simplify right side
    117,643.68x = 6,095,735,429.89
  5. Step 5: Solve for x
    x = 6,095,735,429.89/117,643.68
  6. Step 6: Final answer
    x = 51,815.24

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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.