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Finding the Fourth Proportional to 78,128, 117,192.03 and 21,974.07

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Solution

The fourth proportional to 78,128, 117,192.03 and 21,974.07 is: 32,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,128 : 117,192.03 = 21,974.07 : x
  2. Step 2: Convert to fraction form
    78,128/117,192.03 = 21,974.07/x
  3. Step 3: Cross multiply
    78,128x = 117,192.03 × 21,974.07
  4. Step 4: Simplify right side
    78,128x = 2,575,185,870.66
  5. Step 5: Solve for x
    x = 2,575,185,870.66/78,128
  6. Step 6: Final answer
    x = 32,961.11

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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.