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Finding the Fourth Proportional to 88,177, 132,266.22 and 32,773

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Solution

The fourth proportional to 88,177, 132,266.22 and 32,773 is: 49,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,177 : 132,266.22 = 32,773 : x
  2. Step 2: Convert to fraction form
    88,177/132,266.22 = 32,773/x
  3. Step 3: Cross multiply
    88,177x = 132,266.22 × 32,773
  4. Step 4: Simplify right side
    88,177x = 4,334,760,828.06
  5. Step 5: Solve for x
    x = 4,334,760,828.06/88,177
  6. Step 6: Final answer
    x = 49,159.77

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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.