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Finding the Fourth Proportional to 35,195.32, 52,773 and 31,044.88

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Solution

The fourth proportional to 35,195.32, 52,773 and 31,044.88 is: 46,549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,195.32 : 52,773 = 31,044.88 : x
  2. Step 2: Convert to fraction form
    35,195.32/52,773 = 31,044.88/x
  3. Step 3: Cross multiply
    35,195.32x = 52,773 × 31,044.88
  4. Step 4: Simplify right side
    35,195.32x = 1,638,331,452.24
  5. Step 5: Solve for x
    x = 1,638,331,452.24/35,195.32
  6. Step 6: Final answer
    x = 46,549.70

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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.