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Finding the Fourth Proportional to 114,360.66, 171,541 and 31,254.66

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Solution

The fourth proportional to 114,360.66, 171,541 and 31,254.66 is: 46,881.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,360.66 : 171,541 = 31,254.66 : x
  2. Step 2: Convert to fraction form
    114,360.66/171,541 = 31,254.66/x
  3. Step 3: Cross multiply
    114,360.66x = 171,541 × 31,254.66
  4. Step 4: Simplify right side
    114,360.66x = 5,361,455,631.06
  5. Step 5: Solve for x
    x = 5,361,455,631.06/114,360.66
  6. Step 6: Final answer
    x = 46,881.99

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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.