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Finding the Fourth Proportional to 35,876.25, 53,823.02 and 11,252.25

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Solution

The fourth proportional to 35,876.25, 53,823.02 and 11,252.25 is: 16,881.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,876.25 : 53,823.02 = 11,252.25 : x
  2. Step 2: Convert to fraction form
    35,876.25/53,823.02 = 11,252.25/x
  3. Step 3: Cross multiply
    35,876.25x = 53,823.02 × 11,252.25
  4. Step 4: Simplify right side
    35,876.25x = 605,630,020.53
  5. Step 5: Solve for x
    x = 605,630,020.53/35,876.25
  6. Step 6: Final answer
    x = 16,881.08

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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.