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Finding the Fourth Proportional to 30,615.80, 45,904.56 and 12,841.68

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Solution

The fourth proportional to 30,615.80, 45,904.56 and 12,841.68 is: 19,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,615.80 : 45,904.56 = 12,841.68 : x
  2. Step 2: Convert to fraction form
    30,615.80/45,904.56 = 12,841.68/x
  3. Step 3: Cross multiply
    30,615.80x = 45,904.56 × 12,841.68
  4. Step 4: Simplify right side
    30,615.80x = 589,491,670.06
  5. Step 5: Solve for x
    x = 589,491,670.06/30,615.80
  6. Step 6: Final answer
    x = 19,254.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.