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Finding the Fourth Proportional to 93,522.12, 129,019.38 and 55,774.50

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Solution

The fourth proportional to 93,522.12, 129,019.38 and 55,774.50 is: 76,944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,522.12 : 129,019.38 = 55,774.50 : x
  2. Step 2: Convert to fraction form
    93,522.12/129,019.38 = 55,774.50/x
  3. Step 3: Cross multiply
    93,522.12x = 129,019.38 × 55,774.50
  4. Step 4: Simplify right side
    93,522.12x = 7,195,991,409.81
  5. Step 5: Solve for x
    x = 7,195,991,409.81/93,522.12
  6. Step 6: Final answer
    x = 76,944.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.