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Finding the Fourth Proportional to 105,155.08, 157,733.66 and 31,283.08

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Solution

The fourth proportional to 105,155.08, 157,733.66 and 31,283.08 is: 46,924.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,155.08 : 157,733.66 = 31,283.08 : x
  2. Step 2: Convert to fraction form
    105,155.08/157,733.66 = 31,283.08/x
  3. Step 3: Cross multiply
    105,155.08x = 157,733.66 × 31,283.08
  4. Step 4: Simplify right side
    105,155.08x = 4,934,394,704.47
  5. Step 5: Solve for x
    x = 4,934,394,704.47/105,155.08
  6. Step 6: Final answer
    x = 46,924.93

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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.