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Finding the Fourth Proportional to 59,681.20, 82,353.60 and 34,526

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Solution

The fourth proportional to 59,681.20, 82,353.60 and 34,526 is: 47,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,681.20 : 82,353.60 = 34,526 : x
  2. Step 2: Convert to fraction form
    59,681.20/82,353.60 = 34,526/x
  3. Step 3: Cross multiply
    59,681.20x = 82,353.60 × 34,526
  4. Step 4: Simplify right side
    59,681.20x = 2,843,340,393.60
  5. Step 5: Solve for x
    x = 2,843,340,393.60/59,681.20
  6. Step 6: Final answer
    x = 47,642.15

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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.