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Finding the Fourth Proportional to 107,117.51, 160,564.82 and 35,987.36

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Solution

The fourth proportional to 107,117.51, 160,564.82 and 35,987.36 is: 53,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,117.51 : 160,564.82 = 35,987.36 : x
  2. Step 2: Convert to fraction form
    107,117.51/160,564.82 = 35,987.36/x
  3. Step 3: Cross multiply
    107,117.51x = 160,564.82 × 35,987.36
  4. Step 4: Simplify right side
    107,117.51x = 5,778,302,997.91
  5. Step 5: Solve for x
    x = 5,778,302,997.91/107,117.51
  6. Step 6: Final answer
    x = 53,943.59

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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.