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Finding the Fourth Proportional to 112,715.93, 169,076.97 and 33,830.16

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Solution

The fourth proportional to 112,715.93, 169,076.97 and 33,830.16 is: 50,746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,715.93 : 169,076.97 = 33,830.16 : x
  2. Step 2: Convert to fraction form
    112,715.93/169,076.97 = 33,830.16/x
  3. Step 3: Cross multiply
    112,715.93x = 169,076.97 × 33,830.16
  4. Step 4: Simplify right side
    112,715.93x = 5,719,900,313.38
  5. Step 5: Solve for x
    x = 5,719,900,313.38/112,715.93
  6. Step 6: Final answer
    x = 50,746.16

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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.