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Finding the Fourth Proportional to 31,302.60, 46,955.48 and 7,929.24

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Solution

The fourth proportional to 31,302.60, 46,955.48 and 7,929.24 is: 11,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,302.60 : 46,955.48 = 7,929.24 : x
  2. Step 2: Convert to fraction form
    31,302.60/46,955.48 = 7,929.24/x
  3. Step 3: Cross multiply
    31,302.60x = 46,955.48 × 7,929.24
  4. Step 4: Simplify right side
    31,302.60x = 372,321,270.24
  5. Step 5: Solve for x
    x = 372,321,270.24/31,302.60
  6. Step 6: Final answer
    x = 11,894.26

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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.