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Finding the Fourth Proportional to 35,583.60, 53,407.80 and 30,658.80

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Solution

The fourth proportional to 35,583.60, 53,407.80 and 30,658.80 is: 46,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,583.60 : 53,407.80 = 30,658.80 : x
  2. Step 2: Convert to fraction form
    35,583.60/53,407.80 = 30,658.80/x
  3. Step 3: Cross multiply
    35,583.60x = 53,407.80 × 30,658.80
  4. Step 4: Simplify right side
    35,583.60x = 1,637,419,058.64
  5. Step 5: Solve for x
    x = 1,637,419,058.64/35,583.60
  6. Step 6: Final answer
    x = 46,016.12

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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.