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Finding the Fourth Proportional to 115,182, 172,752.95 and 30,947.87

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Solution

The fourth proportional to 115,182, 172,752.95 and 30,947.87 is: 46,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,182 : 172,752.95 = 30,947.87 : x
  2. Step 2: Convert to fraction form
    115,182/172,752.95 = 30,947.87/x
  3. Step 3: Cross multiply
    115,182x = 172,752.95 × 30,947.87
  4. Step 4: Simplify right side
    115,182x = 5,346,336,347.97
  5. Step 5: Solve for x
    x = 5,346,336,347.97/115,182
  6. Step 6: Final answer
    x = 46,416.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.