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Finding the Fourth Proportional to 114,429.90, 171,642.15 and 31,323.90

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Solution

The fourth proportional to 114,429.90, 171,642.15 and 31,323.90 is: 46,985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,429.90 : 171,642.15 = 31,323.90 : x
  2. Step 2: Convert to fraction form
    114,429.90/171,642.15 = 31,323.90/x
  3. Step 3: Cross multiply
    114,429.90x = 171,642.15 × 31,323.90
  4. Step 4: Simplify right side
    114,429.90x = 5,376,501,542.39
  5. Step 5: Solve for x
    x = 5,376,501,542.39/114,429.90
  6. Step 6: Final answer
    x = 46,985.11

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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.