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Finding the Fourth Proportional to 114,429.40, 171,641.40 and 31,323.40

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Solution

The fourth proportional to 114,429.40, 171,641.40 and 31,323.40 is: 46,984.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,429.40 : 171,641.40 = 31,323.40 : x
  2. Step 2: Convert to fraction form
    114,429.40/171,641.40 = 31,323.40/x
  3. Step 3: Cross multiply
    114,429.40x = 171,641.40 × 31,323.40
  4. Step 4: Simplify right side
    114,429.40x = 5,376,392,228.76
  5. Step 5: Solve for x
    x = 5,376,392,228.76/114,429.40
  6. Step 6: Final answer
    x = 46,984.36

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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.