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Finding the Fourth Proportional to 59,417, 81,995.46 and 34,266.50

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Solution

The fourth proportional to 59,417, 81,995.46 and 34,266.50 is: 47,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,417 : 81,995.46 = 34,266.50 : x
  2. Step 2: Convert to fraction form
    59,417/81,995.46 = 34,266.50/x
  3. Step 3: Cross multiply
    59,417x = 81,995.46 × 34,266.50
  4. Step 4: Simplify right side
    59,417x = 2,809,697,430.09
  5. Step 5: Solve for x
    x = 2,809,697,430.09/59,417
  6. Step 6: Final answer
    x = 47,287.77

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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.