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Finding the Fourth Proportional to 59,534.24, 89,298.80 and 17,980

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Solution

The fourth proportional to 59,534.24, 89,298.80 and 17,980 is: 26,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,534.24 : 89,298.80 = 17,980 : x
  2. Step 2: Convert to fraction form
    59,534.24/89,298.80 = 17,980/x
  3. Step 3: Cross multiply
    59,534.24x = 89,298.80 × 17,980
  4. Step 4: Simplify right side
    59,534.24x = 1,605,592,424
  5. Step 5: Solve for x
    x = 1,605,592,424/59,534.24
  6. Step 6: Final answer
    x = 26,969.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.