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Finding the Fourth Proportional to 123,782.48, 185,683.62 and 39,554.64

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Solution

The fourth proportional to 123,782.48, 185,683.62 and 39,554.64 is: 59,335.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,782.48 : 185,683.62 = 39,554.64 : x
  2. Step 2: Convert to fraction form
    123,782.48/185,683.62 = 39,554.64/x
  3. Step 3: Cross multiply
    123,782.48x = 185,683.62 × 39,554.64
  4. Step 4: Simplify right side
    123,782.48x = 7,344,648,743.00
  5. Step 5: Solve for x
    x = 7,344,648,743.00/123,782.48
  6. Step 6: Final answer
    x = 59,335.12

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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.