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Finding the Fourth Proportional to 30,851.84, 46,281.92 and 10,068.48

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Solution

The fourth proportional to 30,851.84, 46,281.92 and 10,068.48 is: 15,104.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.84 : 46,281.92 = 10,068.48 : x
  2. Step 2: Convert to fraction form
    30,851.84/46,281.92 = 10,068.48/x
  3. Step 3: Cross multiply
    30,851.84x = 46,281.92 × 10,068.48
  4. Step 4: Simplify right side
    30,851.84x = 465,988,585.88
  5. Step 5: Solve for x
    x = 465,988,585.88/30,851.84
  6. Step 6: Final answer
    x = 15,104.08

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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.