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Finding the Fourth Proportional to 30,448.71, 45,661.37 and 10,454.47

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Solution

The fourth proportional to 30,448.71, 45,661.37 and 10,454.47 is: 15,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,448.71 : 45,661.37 = 10,454.47 : x
  2. Step 2: Convert to fraction form
    30,448.71/45,661.37 = 10,454.47/x
  3. Step 3: Cross multiply
    30,448.71x = 45,661.37 × 10,454.47
  4. Step 4: Simplify right side
    30,448.71x = 477,365,256.40
  5. Step 5: Solve for x
    x = 477,365,256.40/30,448.71
  6. Step 6: Final answer
    x = 15,677.68

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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.