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Finding the Fourth Proportional to 109,697.96, 164,577.93 and 30,812.87

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Solution

The fourth proportional to 109,697.96, 164,577.93 and 30,812.87 is: 46,228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,697.96 : 164,577.93 = 30,812.87 : x
  2. Step 2: Convert to fraction form
    109,697.96/164,577.93 = 30,812.87/x
  3. Step 3: Cross multiply
    109,697.96x = 164,577.93 × 30,812.87
  4. Step 4: Simplify right side
    109,697.96x = 5,071,118,657.86
  5. Step 5: Solve for x
    x = 5,071,118,657.86/109,697.96
  6. Step 6: Final answer
    x = 46,228.01

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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.