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Finding the Fourth Proportional to 31,527.62, 47,291.28 and 9,341.12

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Solution

The fourth proportional to 31,527.62, 47,291.28 and 9,341.12 is: 14,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,527.62 : 47,291.28 = 9,341.12 : x
  2. Step 2: Convert to fraction form
    31,527.62/47,291.28 = 9,341.12/x
  3. Step 3: Cross multiply
    31,527.62x = 47,291.28 × 9,341.12
  4. Step 4: Simplify right side
    31,527.62x = 441,753,521.43
  5. Step 5: Solve for x
    x = 441,753,521.43/31,527.62
  6. Step 6: Final answer
    x = 14,011.64

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1.5x scale

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.