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Finding the Fourth Proportional to 106,655.21, 160,009.13 and 31,775.06

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Solution

The fourth proportional to 106,655.21, 160,009.13 and 31,775.06 is: 47,670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,655.21 : 160,009.13 = 31,775.06 : x
  2. Step 2: Convert to fraction form
    106,655.21/160,009.13 = 31,775.06/x
  3. Step 3: Cross multiply
    106,655.21x = 160,009.13 × 31,775.06
  4. Step 4: Simplify right side
    106,655.21x = 5,084,300,185.76
  5. Step 5: Solve for x
    x = 5,084,300,185.76/106,655.21
  6. Step 6: Final answer
    x = 47,670.43

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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.