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Finding the Fourth Proportional to 31,497.60, 47,246.40 and 22,814.40

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Solution

The fourth proportional to 31,497.60, 47,246.40 and 22,814.40 is: 34,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497.60 : 47,246.40 = 22,814.40 : x
  2. Step 2: Convert to fraction form
    31,497.60/47,246.40 = 22,814.40/x
  3. Step 3: Cross multiply
    31,497.60x = 47,246.40 × 22,814.40
  4. Step 4: Simplify right side
    31,497.60x = 1,077,898,268.16
  5. Step 5: Solve for x
    x = 1,077,898,268.16/31,497.60
  6. Step 6: Final answer
    x = 34,221.60

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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.