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Finding the Fourth Proportional to 72,883.36, 109,326.40 and 22,965.08

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Solution

The fourth proportional to 72,883.36, 109,326.40 and 22,965.08 is: 34,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,883.36 : 109,326.40 = 22,965.08 : x
  2. Step 2: Convert to fraction form
    72,883.36/109,326.40 = 22,965.08/x
  3. Step 3: Cross multiply
    72,883.36x = 109,326.40 × 22,965.08
  4. Step 4: Simplify right side
    72,883.36x = 2,510,689,522.11
  5. Step 5: Solve for x
    x = 2,510,689,522.11/72,883.36
  6. Step 6: Final answer
    x = 34,448.05

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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.