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Finding the Fourth Proportional to 31,128.71, 46,700.42 and 8,941.59

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Solution

The fourth proportional to 31,128.71, 46,700.42 and 8,941.59 is: 13,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,128.71 : 46,700.42 = 8,941.59 : x
  2. Step 2: Convert to fraction form
    31,128.71/46,700.42 = 8,941.59/x
  3. Step 3: Cross multiply
    31,128.71x = 46,700.42 × 8,941.59
  4. Step 4: Simplify right side
    31,128.71x = 417,575,963.76
  5. Step 5: Solve for x
    x = 417,575,963.76/31,128.71
  6. Step 6: Final answer
    x = 13,414.50

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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.