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Finding the Fourth Proportional to 39,632.84, 59,448.75 and 9,647.24

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Solution

The fourth proportional to 39,632.84, 59,448.75 and 9,647.24 is: 14,470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,632.84 : 59,448.75 = 9,647.24 : x
  2. Step 2: Convert to fraction form
    39,632.84/59,448.75 = 9,647.24/x
  3. Step 3: Cross multiply
    39,632.84x = 59,448.75 × 9,647.24
  4. Step 4: Simplify right side
    39,632.84x = 573,516,358.95
  5. Step 5: Solve for x
    x = 573,516,358.95/39,632.84
  6. Step 6: Final answer
    x = 14,470.74

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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.