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Finding the Fourth Proportional to 61,047.36, 91,605.06 and 32,966.82

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Solution

The fourth proportional to 61,047.36, 91,605.06 and 32,966.82 is: 49,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,047.36 : 91,605.06 = 32,966.82 : x
  2. Step 2: Convert to fraction form
    61,047.36/91,605.06 = 32,966.82/x
  3. Step 3: Cross multiply
    61,047.36x = 91,605.06 × 32,966.82
  4. Step 4: Simplify right side
    61,047.36x = 3,019,927,524.11
  5. Step 5: Solve for x
    x = 3,019,927,524.11/61,047.36
  6. Step 6: Final answer
    x = 49,468.60

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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.