Home / 106,715.30-160,081.06-31,829.60

Finding the Fourth Proportional to 106,715.30, 160,081.06 and 31,829.60

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Solution

The fourth proportional to 106,715.30, 160,081.06 and 31,829.60 is: 47,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,715.30 : 160,081.06 = 31,829.60 : x
  2. Step 2: Convert to fraction form
    106,715.30/160,081.06 = 31,829.60/x
  3. Step 3: Cross multiply
    106,715.30x = 160,081.06 × 31,829.60
  4. Step 4: Simplify right side
    106,715.30x = 5,095,316,107.38
  5. Step 5: Solve for x
    x = 5,095,316,107.38/106,715.30
  6. Step 6: Final answer
    x = 47,746.82

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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.