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Finding the Fourth Proportional to 30,431.54, 45,642.69 and 10,705.47

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Solution

The fourth proportional to 30,431.54, 45,642.69 and 10,705.47 is: 16,056.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.54 : 45,642.69 = 10,705.47 : x
  2. Step 2: Convert to fraction form
    30,431.54/45,642.69 = 10,705.47/x
  3. Step 3: Cross multiply
    30,431.54x = 45,642.69 × 10,705.47
  4. Step 4: Simplify right side
    30,431.54x = 488,626,448.51
  5. Step 5: Solve for x
    x = 488,626,448.51/30,431.54
  6. Step 6: Final answer
    x = 16,056.58

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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.