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Finding the Fourth Proportional to 31,739.04, 47,613.42 and 9,549.50

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Solution

The fourth proportional to 31,739.04, 47,613.42 and 9,549.50 is: 14,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,739.04 : 47,613.42 = 9,549.50 : x
  2. Step 2: Convert to fraction form
    31,739.04/47,613.42 = 9,549.50/x
  3. Step 3: Cross multiply
    31,739.04x = 47,613.42 × 9,549.50
  4. Step 4: Simplify right side
    31,739.04x = 454,684,116.22
  5. Step 5: Solve for x
    x = 454,684,116.22/31,739.04
  6. Step 6: Final answer
    x = 14,325.70

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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.