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Finding the Fourth Proportional to 45,730.21, 63,113.48 and 27,824.14

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Solution

The fourth proportional to 45,730.21, 63,113.48 and 27,824.14 is: 38,400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,730.21 : 63,113.48 = 27,824.14 : x
  2. Step 2: Convert to fraction form
    45,730.21/63,113.48 = 27,824.14/x
  3. Step 3: Cross multiply
    45,730.21x = 63,113.48 × 27,824.14
  4. Step 4: Simplify right side
    45,730.21x = 1,756,078,303.41
  5. Step 5: Solve for x
    x = 1,756,078,303.41/45,730.21
  6. Step 6: Final answer
    x = 38,400.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.