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Finding the Fourth Proportional to 20,870.28, 31,305.02 and 5,287.50

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Solution

The fourth proportional to 20,870.28, 31,305.02 and 5,287.50 is: 7,931.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,870.28 : 31,305.02 = 5,287.50 : x
  2. Step 2: Convert to fraction form
    20,870.28/31,305.02 = 5,287.50/x
  3. Step 3: Cross multiply
    20,870.28x = 31,305.02 × 5,287.50
  4. Step 4: Simplify right side
    20,870.28x = 165,525,266.81
  5. Step 5: Solve for x
    x = 165,525,266.81/20,870.28
  6. Step 6: Final answer
    x = 7,931.15

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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.