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Finding the Fourth Proportional to 121,381.56, 182,072.35 and 38,275.56

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Solution

The fourth proportional to 121,381.56, 182,072.35 and 38,275.56 is: 57,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,381.56 : 182,072.35 = 38,275.56 : x
  2. Step 2: Convert to fraction form
    121,381.56/182,072.35 = 38,275.56/x
  3. Step 3: Cross multiply
    121,381.56x = 182,072.35 × 38,275.56
  4. Step 4: Simplify right side
    121,381.56x = 6,968,921,156.77
  5. Step 5: Solve for x
    x = 6,968,921,156.77/121,381.56
  6. Step 6: Final answer
    x = 57,413.34

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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.