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Finding the Fourth Proportional to 35,290.08, 52,974 and 29,811.24

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Solution

The fourth proportional to 35,290.08, 52,974 and 29,811.24 is: 44,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,290.08 : 52,974 = 29,811.24 : x
  2. Step 2: Convert to fraction form
    35,290.08/52,974 = 29,811.24/x
  3. Step 3: Cross multiply
    35,290.08x = 52,974 × 29,811.24
  4. Step 4: Simplify right side
    35,290.08x = 1,579,220,627.76
  5. Step 5: Solve for x
    x = 1,579,220,627.76/35,290.08
  6. Step 6: Final answer
    x = 44,749.70

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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.