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Finding the Fourth Proportional to 115,955.52, 173,938.52 and 31,713.80

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Solution

The fourth proportional to 115,955.52, 173,938.52 and 31,713.80 is: 47,572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,955.52 : 173,938.52 = 31,713.80 : x
  2. Step 2: Convert to fraction form
    115,955.52/173,938.52 = 31,713.80/x
  3. Step 3: Cross multiply
    115,955.52x = 173,938.52 × 31,713.80
  4. Step 4: Simplify right side
    115,955.52x = 5,516,251,178.51
  5. Step 5: Solve for x
    x = 5,516,251,178.51/115,955.52
  6. Step 6: Final answer
    x = 47,572.13

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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.