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Finding the Fourth Proportional to 116,580.51, 174,852.10 and 41,686.68

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Solution

The fourth proportional to 116,580.51, 174,852.10 and 41,686.68 is: 62,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,580.51 : 174,852.10 = 41,686.68 : x
  2. Step 2: Convert to fraction form
    116,580.51/174,852.10 = 41,686.68/x
  3. Step 3: Cross multiply
    116,580.51x = 174,852.10 × 41,686.68
  4. Step 4: Simplify right side
    116,580.51x = 7,289,003,540.03
  5. Step 5: Solve for x
    x = 7,289,003,540.03/116,580.51
  6. Step 6: Final answer
    x = 62,523.35

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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.