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Finding the Fourth Proportional to 109,430.64, 164,168.04 and 34,562.40

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Solution

The fourth proportional to 109,430.64, 164,168.04 and 34,562.40 is: 51,850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,430.64 : 164,168.04 = 34,562.40 : x
  2. Step 2: Convert to fraction form
    109,430.64/164,168.04 = 34,562.40/x
  3. Step 3: Cross multiply
    109,430.64x = 164,168.04 × 34,562.40
  4. Step 4: Simplify right side
    109,430.64x = 5,674,041,465.70
  5. Step 5: Solve for x
    x = 5,674,041,465.70/109,430.64
  6. Step 6: Final answer
    x = 51,850.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.