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Finding the Fourth Proportional to 75,335.42, 112,999.48 and 27,959.76

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Solution

The fourth proportional to 75,335.42, 112,999.48 and 27,959.76 is: 41,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,335.42 : 112,999.48 = 27,959.76 : x
  2. Step 2: Convert to fraction form
    75,335.42/112,999.48 = 27,959.76/x
  3. Step 3: Cross multiply
    75,335.42x = 112,999.48 × 27,959.76
  4. Step 4: Simplify right side
    75,335.42x = 3,159,438,271.03
  5. Step 5: Solve for x
    x = 3,159,438,271.03/75,335.42
  6. Step 6: Final answer
    x = 41,938.28

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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.