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Finding the Fourth Proportional to 45,696, 63,069.12 and 25,824

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Solution

The fourth proportional to 45,696, 63,069.12 and 25,824 is: 35,642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,696 : 63,069.12 = 25,824 : x
  2. Step 2: Convert to fraction form
    45,696/63,069.12 = 25,824/x
  3. Step 3: Cross multiply
    45,696x = 63,069.12 × 25,824
  4. Step 4: Simplify right side
    45,696x = 1,628,696,954.88
  5. Step 5: Solve for x
    x = 1,628,696,954.88/45,696
  6. Step 6: Final answer
    x = 35,642.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.