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Finding the Fourth Proportional to 30,178.62, 45,271.44 and 11,472.75

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Solution

The fourth proportional to 30,178.62, 45,271.44 and 11,472.75 is: 17,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,178.62 : 45,271.44 = 11,472.75 : x
  2. Step 2: Convert to fraction form
    30,178.62/45,271.44 = 11,472.75/x
  3. Step 3: Cross multiply
    30,178.62x = 45,271.44 × 11,472.75
  4. Step 4: Simplify right side
    30,178.62x = 519,387,913.26
  5. Step 5: Solve for x
    x = 519,387,913.26/30,178.62
  6. Step 6: Final answer
    x = 17,210.46

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