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Finding the Fourth Proportional to 35,782.80, 53,717.40 and 35,523.60

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Solution

The fourth proportional to 35,782.80, 53,717.40 and 35,523.60 is: 53,328.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.80 : 53,717.40 = 35,523.60 : x
  2. Step 2: Convert to fraction form
    35,782.80/53,717.40 = 35,523.60/x
  3. Step 3: Cross multiply
    35,782.80x = 53,717.40 × 35,523.60
  4. Step 4: Simplify right side
    35,782.80x = 1,908,235,430.64
  5. Step 5: Solve for x
    x = 1,908,235,430.64/35,782.80
  6. Step 6: Final answer
    x = 53,328.29

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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.