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Finding the Fourth Proportional to 109,699.76, 164,556.02 and 30,820.14

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Solution

The fourth proportional to 109,699.76, 164,556.02 and 30,820.14 is: 46,232.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,699.76 : 164,556.02 = 30,820.14 : x
  2. Step 2: Convert to fraction form
    109,699.76/164,556.02 = 30,820.14/x
  3. Step 3: Cross multiply
    109,699.76x = 164,556.02 × 30,820.14
  4. Step 4: Simplify right side
    109,699.76x = 5,071,639,574.24
  5. Step 5: Solve for x
    x = 5,071,639,574.24/109,699.76
  6. Step 6: Final answer
    x = 46,232.00

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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.