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Finding the Fourth Proportional to 31,002.56, 46,503.84 and 7,629.04

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Solution

The fourth proportional to 31,002.56, 46,503.84 and 7,629.04 is: 11,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,002.56 : 46,503.84 = 7,629.04 : x
  2. Step 2: Convert to fraction form
    31,002.56/46,503.84 = 7,629.04/x
  3. Step 3: Cross multiply
    31,002.56x = 46,503.84 × 7,629.04
  4. Step 4: Simplify right side
    31,002.56x = 354,779,655.51
  5. Step 5: Solve for x
    x = 354,779,655.51/31,002.56
  6. Step 6: Final answer
    x = 11,443.56

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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.