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Finding the Fourth Proportional to 114,032.80, 171,052.71 and 39,151.95

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Solution

The fourth proportional to 114,032.80, 171,052.71 and 39,151.95 is: 58,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,032.80 : 171,052.71 = 39,151.95 : x
  2. Step 2: Convert to fraction form
    114,032.80/171,052.71 = 39,151.95/x
  3. Step 3: Cross multiply
    114,032.80x = 171,052.71 × 39,151.95
  4. Step 4: Simplify right side
    114,032.80x = 6,697,047,149.28
  5. Step 5: Solve for x
    x = 6,697,047,149.28/114,032.80
  6. Step 6: Final answer
    x = 58,729.13

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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.