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Finding the Fourth Proportional to 114,426, 171,650.88 and 31,320

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Solution

The fourth proportional to 114,426, 171,650.88 and 31,320 is: 46,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,426 : 171,650.88 = 31,320 : x
  2. Step 2: Convert to fraction form
    114,426/171,650.88 = 31,320/x
  3. Step 3: Cross multiply
    114,426x = 171,650.88 × 31,320
  4. Step 4: Simplify right side
    114,426x = 5,376,105,561.60
  5. Step 5: Solve for x
    x = 5,376,105,561.60/114,426
  6. Step 6: Final answer
    x = 46,983.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.