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Finding the Fourth Proportional to 114,336, 171,515.88 and 31,230

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Solution

The fourth proportional to 114,336, 171,515.88 and 31,230 is: 46,848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,336 : 171,515.88 = 31,230 : x
  2. Step 2: Convert to fraction form
    114,336/171,515.88 = 31,230/x
  3. Step 3: Cross multiply
    114,336x = 171,515.88 × 31,230
  4. Step 4: Simplify right side
    114,336x = 5,356,440,932.40
  5. Step 5: Solve for x
    x = 5,356,440,932.40/114,336
  6. Step 6: Final answer
    x = 46,848.24

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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.