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Finding the Fourth Proportional to 31,584.02, 47,358.62 and 12,859.26

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Solution

The fourth proportional to 31,584.02, 47,358.62 and 12,859.26 is: 19,281.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,584.02 : 47,358.62 = 12,859.26 : x
  2. Step 2: Convert to fraction form
    31,584.02/47,358.62 = 12,859.26/x
  3. Step 3: Cross multiply
    31,584.02x = 47,358.62 × 12,859.26
  4. Step 4: Simplify right side
    31,584.02x = 608,996,807.82
  5. Step 5: Solve for x
    x = 608,996,807.82/31,584.02
  6. Step 6: Final answer
    x = 19,281.80

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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.