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Finding the Fourth Proportional to 114,422.40, 171,630.90 and 31,316.40

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Solution

The fourth proportional to 114,422.40, 171,630.90 and 31,316.40 is: 46,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,422.40 : 171,630.90 = 31,316.40 : x
  2. Step 2: Convert to fraction form
    114,422.40/171,630.90 = 31,316.40/x
  3. Step 3: Cross multiply
    114,422.40x = 171,630.90 × 31,316.40
  4. Step 4: Simplify right side
    114,422.40x = 5,374,861,916.76
  5. Step 5: Solve for x
    x = 5,374,861,916.76/114,422.40
  6. Step 6: Final answer
    x = 46,973.86

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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.