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Finding the Fourth Proportional to 111,591.04, 167,386.56 and 41,488

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Solution

The fourth proportional to 111,591.04, 167,386.56 and 41,488 is: 62,232

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,591.04 : 167,386.56 = 41,488 : x
  2. Step 2: Convert to fraction form
    111,591.04/167,386.56 = 41,488/x
  3. Step 3: Cross multiply
    111,591.04x = 167,386.56 × 41,488
  4. Step 4: Simplify right side
    111,591.04x = 6,944,533,601.28
  5. Step 5: Solve for x
    x = 6,944,533,601.28/111,591.04
  6. Step 6: Final answer
    x = 62,232

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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.