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Finding the Fourth Proportional to 107,752.96, 161,556.54 and 37,594

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Solution

The fourth proportional to 107,752.96, 161,556.54 and 37,594 is: 56,365.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,752.96 : 161,556.54 = 37,594 : x
  2. Step 2: Convert to fraction form
    107,752.96/161,556.54 = 37,594/x
  3. Step 3: Cross multiply
    107,752.96x = 161,556.54 × 37,594
  4. Step 4: Simplify right side
    107,752.96x = 6,073,556,564.76
  5. Step 5: Solve for x
    x = 6,073,556,564.76/107,752.96
  6. Step 6: Final answer
    x = 56,365.57

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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.