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Finding the Fourth Proportional to 20,178.01, 30,272.07 and 7,030.49

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Solution

The fourth proportional to 20,178.01, 30,272.07 and 7,030.49 is: 10,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.01 : 30,272.07 = 7,030.49 : x
  2. Step 2: Convert to fraction form
    20,178.01/30,272.07 = 7,030.49/x
  3. Step 3: Cross multiply
    20,178.01x = 30,272.07 × 7,030.49
  4. Step 4: Simplify right side
    20,178.01x = 212,827,485.41
  5. Step 5: Solve for x
    x = 212,827,485.41/20,178.01
  6. Step 6: Final answer
    x = 10,547.50

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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.