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Finding the Fourth Proportional to 31,004.64, 46,484.64 and 15,203.52

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Solution

The fourth proportional to 31,004.64, 46,484.64 and 15,203.52 is: 22,794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004.64 : 46,484.64 = 15,203.52 : x
  2. Step 2: Convert to fraction form
    31,004.64/46,484.64 = 15,203.52/x
  3. Step 3: Cross multiply
    31,004.64x = 46,484.64 × 15,203.52
  4. Step 4: Simplify right side
    31,004.64x = 706,730,153.93
  5. Step 5: Solve for x
    x = 706,730,153.93/31,004.64
  6. Step 6: Final answer
    x = 22,794.34

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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.