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Finding the Fourth Proportional to 34,527.90, 51,793.06 and 9,565.94

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Solution

The fourth proportional to 34,527.90, 51,793.06 and 9,565.94 is: 14,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,527.90 : 51,793.06 = 9,565.94 : x
  2. Step 2: Convert to fraction form
    34,527.90/51,793.06 = 9,565.94/x
  3. Step 3: Cross multiply
    34,527.90x = 51,793.06 × 9,565.94
  4. Step 4: Simplify right side
    34,527.90x = 495,449,304.38
  5. Step 5: Solve for x
    x = 495,449,304.38/34,527.90
  6. Step 6: Final answer
    x = 14,349.25

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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.