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Finding the Fourth Proportional to 59,883, 89,824.14 and 15,509.64

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Solution

The fourth proportional to 59,883, 89,824.14 and 15,509.64 is: 23,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,883 : 89,824.14 = 15,509.64 : x
  2. Step 2: Convert to fraction form
    59,883/89,824.14 = 15,509.64/x
  3. Step 3: Cross multiply
    59,883x = 89,824.14 × 15,509.64
  4. Step 4: Simplify right side
    59,883x = 1,393,140,074.71
  5. Step 5: Solve for x
    x = 1,393,140,074.71/59,883
  6. Step 6: Final answer
    x = 23,264.37

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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.