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Finding the Fourth Proportional to 96,851.88, 145,277.82 and 41,409

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Solution

The fourth proportional to 96,851.88, 145,277.82 and 41,409 is: 62,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,851.88 : 145,277.82 = 41,409 : x
  2. Step 2: Convert to fraction form
    96,851.88/145,277.82 = 41,409/x
  3. Step 3: Cross multiply
    96,851.88x = 145,277.82 × 41,409
  4. Step 4: Simplify right side
    96,851.88x = 6,015,809,248.38
  5. Step 5: Solve for x
    x = 6,015,809,248.38/96,851.88
  6. Step 6: Final answer
    x = 62,113.50

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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.