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Finding the Fourth Proportional to 20,903.47, 31,358.16 and 6,113.50

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Solution

The fourth proportional to 20,903.47, 31,358.16 and 6,113.50 is: 9,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,903.47 : 31,358.16 = 6,113.50 : x
  2. Step 2: Convert to fraction form
    20,903.47/31,358.16 = 6,113.50/x
  3. Step 3: Cross multiply
    20,903.47x = 31,358.16 × 6,113.50
  4. Step 4: Simplify right side
    20,903.47x = 191,708,111.16
  5. Step 5: Solve for x
    x = 191,708,111.16/20,903.47
  6. Step 6: Final answer
    x = 9,171.11

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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.