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Finding the Fourth Proportional to 53,564.68, 80,314.61 and 23,977.00

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Solution

The fourth proportional to 53,564.68, 80,314.61 and 23,977.00 is: 35,950.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,564.68 : 80,314.61 = 23,977.00 : x
  2. Step 2: Convert to fraction form
    53,564.68/80,314.61 = 23,977.00/x
  3. Step 3: Cross multiply
    53,564.68x = 80,314.61 × 23,977.00
  4. Step 4: Simplify right side
    53,564.68x = 1,925,703,002.40
  5. Step 5: Solve for x
    x = 1,925,703,002.40/53,564.68
  6. Step 6: Final answer
    x = 35,950.99

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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.