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Finding the Fourth Proportional to 35,295.96, 52,862.64 and 21,225.12

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Solution

The fourth proportional to 35,295.96, 52,862.64 and 21,225.12 is: 31,788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,295.96 : 52,862.64 = 21,225.12 : x
  2. Step 2: Convert to fraction form
    35,295.96/52,862.64 = 21,225.12/x
  3. Step 3: Cross multiply
    35,295.96x = 52,862.64 × 21,225.12
  4. Step 4: Simplify right side
    35,295.96x = 1,122,015,877.52
  5. Step 5: Solve for x
    x = 1,122,015,877.52/35,295.96
  6. Step 6: Final answer
    x = 31,788.79

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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.