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Finding the Fourth Proportional to 51,476.48, 77,170.04 and 20,304.08

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Solution

The fourth proportional to 51,476.48, 77,170.04 and 20,304.08 is: 30,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,476.48 : 77,170.04 = 20,304.08 : x
  2. Step 2: Convert to fraction form
    51,476.48/77,170.04 = 20,304.08/x
  3. Step 3: Cross multiply
    51,476.48x = 77,170.04 × 20,304.08
  4. Step 4: Simplify right side
    51,476.48x = 1,566,866,665.76
  5. Step 5: Solve for x
    x = 1,566,866,665.76/51,476.48
  6. Step 6: Final answer
    x = 30,438.50

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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.