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Finding the Fourth Proportional to 31,287.88, 46,931.32 and 7,595.62

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Solution

The fourth proportional to 31,287.88, 46,931.32 and 7,595.62 is: 11,393.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,287.88 : 46,931.32 = 7,595.62 : x
  2. Step 2: Convert to fraction form
    31,287.88/46,931.32 = 7,595.62/x
  3. Step 3: Cross multiply
    31,287.88x = 46,931.32 × 7,595.62
  4. Step 4: Simplify right side
    31,287.88x = 356,472,200.18
  5. Step 5: Solve for x
    x = 356,472,200.18/31,287.88
  6. Step 6: Final answer
    x = 11,393.30

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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.