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Finding the Fourth Proportional to 59,146, 81,623.40 and 32,650

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Solution

The fourth proportional to 59,146, 81,623.40 and 32,650 is: 45,058.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,146 : 81,623.40 = 32,650 : x
  2. Step 2: Convert to fraction form
    59,146/81,623.40 = 32,650/x
  3. Step 3: Cross multiply
    59,146x = 81,623.40 × 32,650
  4. Step 4: Simplify right side
    59,146x = 2,665,004,010
  5. Step 5: Solve for x
    x = 2,665,004,010/59,146
  6. Step 6: Final answer
    x = 45,058.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.